{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# How the PCA algorithm works"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "PCA makes several assumptions that are important to keep in mind. These include:\n",
    "- high variance implies a high signal-to-noise ratio\n",
    "- the data is standardized so that the variance is comparable across features\n",
    "- linear transformations capture the relevant aspects of the data, and\n",
    "- higher-order statistics beyond the first and second moment do not matter, which implies that the data has a normal distribution\n",
    "\n",
    "The emphasis on the first and second moments align with standard risk/return metrics, but the normality assumption may conflict with the characteristics of market data.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The algorithm finds vectors to create a hyperplane of target dimensionality that minimizes the reconstruction error, measured as the sum of the squared distances of the data points to the plane. As illustrated above, this goal corresponds to finding a sequence of vectors that align with directions of maximum retained variance given the other components while ensuring all principal component are mutually orthogonal.\n",
    "\n",
    "In practice, the algorithm solves the problem either by computing the eigenvectors of the covariance matrix or using the singular value decomposition. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Imports & Settings"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.381528Z",
     "start_time": "2020-06-18T13:54:07.813633Z"
    },
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "from numpy.linalg import inv, eig, svd\n",
    "from numpy.random import uniform, randn, seed\n",
    "from itertools import repeat\n",
    "import matplotlib.pyplot as plt\n",
    "import seaborn as sns\n",
    "from sklearn.decomposition import PCA\n",
    "from sklearn.datasets import load_digits"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.385630Z",
     "start_time": "2020-06-18T13:54:08.382971Z"
    }
   },
   "outputs": [],
   "source": [
    "sns.set_style('white')\n",
    "seed(42)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.403898Z",
     "start_time": "2020-06-18T13:54:08.387152Z"
    },
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def format3D(axis, labels=('x', 'y', 'z'), limits=None):\n",
    "    \"\"\"3D plot helper function to set labels, pane color, and axis limits\"\"\"\n",
    "    axis.set_xlabel('\\n${}$'.format(labels[0]), linespacing=3)\n",
    "    axis.set_ylabel('\\n${}$'.format(labels[1]), linespacing=3)\n",
    "    axis.set_zlabel('\\n${}$'.format(labels[2]), linespacing=3)\n",
    "    transparent = (1.0, 1.0, 1.0, 0.0)\n",
    "    axis.w_xaxis.set_pane_color(transparent)\n",
    "    axis.w_yaxis.set_pane_color(transparent)\n",
    "    axis.w_zaxis.set_pane_color(transparent)\n",
    "    if limits:\n",
    "        axis.set_xlim(limits[0])\n",
    "        axis.set_ylim(limits[1])\n",
    "        axis.set_zlim(limits[2])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Create a noisy 3D Ellipse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We illustrate the computation using a randomly generated three-dimensional ellipse with 100 data points."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.458747Z",
     "start_time": "2020-06-18T13:54:08.406309Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "n_points, noise = 100, 0.1\n",
    "angles = uniform(low=-np.pi, high=np.pi, size=n_points)\n",
    "x = 2 * np.cos(angles) + noise * randn(n_points)\n",
    "y = np.sin(angles) + noise * randn(n_points)\n",
    "\n",
    "theta = np.pi/4 # 45 degree rotation\n",
    "rotation_matrix = np.array([[np.cos(theta), -np.sin(theta)], \n",
    "                            [np.sin(theta), np.cos(theta)]])\n",
    "\n",
    "rotated = np.column_stack((x, y)).dot(rotation_matrix)\n",
    "x, y = rotated[:, 0], rotated[:, 1]\n",
    "\n",
    "z = .2 * x  + .2 * y + noise * randn(n_points)\n",
    "data = np.vstack((x, y, z)).T"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.472785Z",
     "start_time": "2020-06-18T13:54:08.460567Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 3)"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Plot the result "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.824186Z",
     "start_time": "2020-06-18T13:54:08.473827Z"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x432 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.figure().gca(projection='3d')\n",
    "\n",
    "ax.scatter(x, y, z, s=25)\n",
    "format3D(ax)\n",
    "plt.gcf().set_size_inches(14, 6)\n",
    "plt.tight_layout();"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Principal Components using scikit-learn"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [sklearn.decomposition.PCA](http://scikit-learn.org/stable/modules/generated/sklearn.decomposition.PCA.html) implementation follows the standard API based on fit() and transform() methods that compute the desired number of principal components and project the data into the component space, respectively. The convenience method fit_transform() accomplishes this in a single step.\n",
    "\n",
    "PCA offers three different algorithms that can be specified using the svd_solver parameter: \n",
    "- full computes the exact SVD using the LAPACK solver provided by scipy, \n",
    "- arpack runs a truncated version suitable for computing less than the full number of components. \n",
    "- randomized uses a sampling-based algorithm that is more efficient when the data set has more than 500 observations and features, and the goal is to compute less than 80% of the components\n",
    "- auto also randomized where most efficient, otherwise, it uses the full SVD. \n",
    "\n",
    "Other key configuration parameters of the PCA object are:\n",
    "- n_components:  compute all principal components by passing None (the default), or limit the number to int. For svd_solver=full, there are two -additional options: a float in the interval [0, 1]  computes the number of components required to retain the corresponding share of the variance in the data, and the option mle estimates the number of dimensions using maximum likelihood.\n",
    "- whiten: if True, it standardizes the component vectors to unit variance that in some cases can be useful for use in a predictive model (default is False) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.830009Z",
     "start_time": "2020-06-18T13:54:08.825891Z"
    },
    "scrolled": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.71409739,  0.66929454,  0.20520656],\n",
       "       [-0.70000234,  0.68597301,  0.1985894 ],\n",
       "       [ 0.00785136,  0.28545725, -0.95835928]])"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA()\n",
    "pca.fit(data)\n",
    "C = pca.components_.T # columns = principal components\n",
    "C"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### First principal component"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.842345Z",
     "start_time": "2020-06-18T13:54:08.831151Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.71409739, -0.70000234,  0.00785136])"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "C[:, 0]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Explained Variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.849989Z",
     "start_time": "2020-06-18T13:54:08.843499Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.92923132, 0.55811089, 0.00581353])"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "explained_variance = pca.explained_variance_\n",
    "explained_variance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.858771Z",
     "start_time": "2020-06-18T13:54:08.851236Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.allclose(explained_variance/np.sum(explained_variance), \n",
    "            pca.explained_variance_ratio_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### PCA to reduce dimensions"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:08.874926Z",
     "start_time": "2020-06-18T13:54:08.860024Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 2)"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca2 = PCA(n_components=2)\n",
    "projected_data  = pca2.fit_transform(data)\n",
    "projected_data.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.054105Z",
     "start_time": "2020-06-18T13:54:08.875937Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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y7PUGdPW92Wlz1fuNbrvodj1Ard4GDxLohKN4UeJeLpextbWFmZkZbGxsNEw+JNDdoVVv9mq1it3dXSSTSXAc19CbvZlxj1sM8xl0EugEMZywI0u9lrMz8ey0UGwVdw3DQDabRa1Ww9LSUkMZeb/D8zzi8XhDpxmWZa83oItEIlZpfKdmrrSe8Q92rkWo1Vt/QwKdcBQ3Bbqqqtja2oJhGC1N4PpNXPfbeFtRf/5uZmYGwJXzd6w3+/b2tlWaxTIgbvZmH+Yz6F7fnyAId+m1nH0/bsSpVveoVCrY2dnB5OQk1tbWPJvL3LxvKBRCKBRqakDHzFzrDehisZhrsdQrBiWOOfkc7bZ6Yz8TCoWoNN5DBvsbS3gOz/MN5TXdctgCwDRN7O7uIpvNYmlpyWob1grKoPuDQCDQ4HILAM8++yxisRgqlQoymQx0XW8woIvH444EiWEW6JRBJ4jhwYme5t16xHTC/riraRrS6TRM08Tx48f7wufEKeo3wNn6R9d1iKJ4wICuvs3bIM37g7Imc3s90Ko0nh2tqP85avXmLiTQCUdxOoMuSRI2NzcRi8WwsbFxZIkdlbj7G57nMTk5icnJSQBXAgUzoMvlchBFseHMOzOg6zWgeS3QvQx0Xm8QEAThPPt7mts557iVQQeuPEexWMTu7i7m5uass9p+wE/rgkAggEQiYZnksSwpM6CTJMkS9pFIBIZh9H0s6OexM7w+8ga0Fu2tWr3Vi3avxz5IkEAnHMUpgW4YBjKZDMrlMlZXVxsMytwYj1t4MV4/fT7snHo8Hsfs7CyAK5kTVhq/u7sLRVEQiUQasuzdnIUc1jPoXpNOp7G4uOj1MAhiIGFGUezMqROlqm4JdFVVcenSJUSjUaytrfnKHM3vc3h9BxbmDcOypKIoQtM0XL58GaFQqKE3u58+48Pw07qlF/y6SXJYq7d6qNWbfZBAJxzFThd3NiFUKhVsbW1hamrqgAlcJ9fpZSyEM7TzuwkGg017s1erVRQKBWxvb8M0zQYDumg0eujvzWsXdy/fKa/f52KxSAKdIBzAiXL2Zjgt0A3DQLFYhCAIDV1ZiN5gBnTRaBS1Wg0rKyvQNA2SJFkb4KZp9mRA5xZeV6LZhdfrgXZpp9VbuVy23i9q9dY5JNCJpvzkJz/B2bNne76OnRl0Xddx6dIlaJqGkydPNjWBc2s8hH+ozwxMT08DuLKgY1n2dDoNSZIO7c3udYk7BSuCIOyClaOmUinMzc05viB2Mq4KgoBMJoNoNIqxsTFfi/N+X1twHNfSgE4UxQYDuvo2b34xoBuEONrP64H984woihgZGaFWb13ij28V4TvsCjR2BG7TNFEoFCCKIubn5zExMdH1l7nfBHq/jbdX7JqkeZ5vOH8HXHH5Z73Zs9ksNE2zerOrqtrVho8deL3z73X1AEEQ9lDf99g0TVSrVSwsLDh+XyfilK7ryGQyUFUVq6urUFUV5XLZ1nsQVzjsd1dvQMdgWXZJklAsFqHrOsLhsPVzXhjQDUos6WeBvh9mQFv/LlCrt/YhgU44Sq8l7swEjk36zDysW4ZN8BI/JRQKYWJiwnK5NU3TKuUrFApQVRV7e3uIx+NIJBIYGRlxpZzPMAzfZCDchhzkCcIe9pez158VdXoOszOumqaJcrmMXC6HmZkZjI+Pg+M4a9PBrwyTmAgGgy0N6EqlEmRZbhD2rM2bG+9hvzNIAr1Z8oFavbXPcK4KCdfoNnDvN4GLx+P4yU9+4tl4iMGD4zjEYjHEYjHouo5gMIiJiQmrNL5QKECWZYTD4YbSeLtNc4a5vN4wjL4xISIIP3JYT3MW7/pFoCuKgnQ6jWAwiBMnTjRsXPZD7Pb7+JyimQGdrutWaXylUoGqqgiFQg2l8XZuznody+xiUJ4DaN8At51Wb0zsNzOhG1RIoBMtsWOi6CaoMhO4ycnJjk3g2hlPP9EPi5JBgeO4A73ZTdOEqqqoVqsolUpIp9MwDKOhN3ssFuvpvfIyIHudwfbq/ufPn0cqlcIb3vAG1+9NEHZhGAYURbHmkP3ziFvxo9f7mKaJ3d1dyzCyVVcWioX9QyAQsDqwAD/dSBJFEdVqFfl8HqZpNjjG91KxNijvxiAJdKD7NXcr0c46UrC/+6//+i+8853v9LU3RbeQQCeaYtfOeycl7pqmYWtrC5qmYX19HZFIpKd7t2JQJnLCPlq9ExzHIRwOY2pqClNTU9bPsiz7zs4ORFFEIBBoyLJ3cp7dyzPowyrQX3zxRWQyGRLoRF/CNg51XT+0pznP874X6KIoIpVKYXR0FOvr6y2fxe+b1f0uqtyosmAGdKwDC3P8liTJMqALBAINpfGdVFj1++8AGDyBbifNWr098sgjuOOOOzwemTOQQCeaYldgbyeomqaJvb097OzsYHFxsScTODvGQwwfnQRFjuMsIc7QNM0yoMvn81BVtaE3+8jISMuFp5d90L1eDHgl0Gu12kDuuBODTac9zTmOs6XN6VF0E1d1XUc2m4UkSVhZWTlyQ74fRAutLTqDucHHYjHrz+oN6AqFAgzDsAzoYrEYIpFI03dhkD77fnjX/QDHcRBFseH9GSRIoBNNYYG91/OhRwVuSZKQTCYRiUSwsbHh+HlUuwS6W8GANhTcoVehGgwGMT4+bp2/Y61p2Fn2+t7szICOLTSGucRd13XPBHqvhpME4Sbd9DR3M4PeyUZAuVxGNpvF1NQUFhYW2j6nSrFw8GllQCeKIorFomVA16zNGwnb4cM0zYE12R3MpyJ6plf39aOuYxgGdnZ2UCwWsbq62tAOy0koyPsXr9t92e11wBYPzXqzp1IpSJKEUCgETdMs8xy3A43XLd682iCoVqtYWVlx/b4E0Sn1JnBMmHdS7eOnEndVVZFOp8Fx3AETOLvu4RX9LA79/rkyAzqGrutWlr1cLkNVVctUDIDtBnRE57jxTjH390GFBDrRFLuCYbPrVKtVJJNJTE5O4uzZs64GNjufa5AZ9OfbjxtZ7Ga92RVFwaVLlyCKIi5cuABd1w8Y0Dm50PCyvJ7dn0rcCeIg+3uad9NiyK0S96M29E3TRKFQwN7eHubn5y0Tzk5xejE+bHGvX6n3fAGuvBfpdBqBQKCpAV0sFkMoFKLfr4u4ufk/qL9XEuhEU+zKoNcLYk3TsL29DUVRHDWBa3c8/cCgTjx+w6sy83A4jFAohIWFBcRiMZimCVEUIQgCcrkcRFFsOPNud292r0vcSaATxEFa9TTvFD+YxEmShFQqhXg8fqgJXC/38At+H9+gwjqwJBIJRKNRAI0GdPl8HoqiIBgMWoI9Go1Si08HcWPz32sPHachgT5AFItFJBIJW8pk7c6g7+3tIZPJYGFhAZOTk559qfohyO+n38bbLV5Ptn4wauM4zmpNMzs7C+BKOR8zoGNOt3b1Zh/WEvdardaylRNBeMVhPc27wcsSd8MwkMvlIAgCFhcXezZy8vtC3O/jG3T2rx/qDeiY3whr81ar1bC3t2cZ0DHB3sqAjugcN9YWiqJ4kuhzCxLoA8Te3l6DYUYv2JVBl2UZsiyjUqngzJkzPY+tVxHXjwKdcB4/n38PBAIYGxuzWtMw0xxBEFAqlZBKpWCaJmKxmGVAF41G2/qe+KHE3QuDF8qgE36CnZ9lZ2l7FeYMr1zcq9UqMpkMJicnsba2ZtuzUOwmeiEYDGJ0dNQ6YsHMXCVJsgzoeJ5v6M0eCoVcG98gvd9ubL4LgjCwDu4ACfSBwi5Rbce1TNPEzs4OCoUCQqEQjh8/3vOYvHa89oJhelYvf7f9dO960xzWm90wDKs0PpPJQBRFBIPBhix7s4XGsJa4C4JAAp3wBe32NO8Gt0vcNU1DJpOBrus4duwYwuGw7fdwkl7jQD8LrH5fa3Tzu6s3c2XUG9CVSiVomnagzZtTMWuQ1rdubP4P+kY7CfQBwk6B3kswZCZwExMT2NjYwPnz5z0fk53XYLg1mbod9Pt5kdEt/d7qjOf5A73ZVVW1SuOz2Sw0TUM0GrV+Lh6Pe74goBJ3YljptKd5N7iVQQcAURRx6dIlzM7OYmxszJF5xc+xaVCEVb9i17vRzIBOVVXLMV6WZQBAJBKxSuPtMqDzOh7biRsl7qIokkAn+gOvM+j1JnBra2sNu5J24DeBTthPv2Sx++HeoVAIExMTmJiYsO4jSRIEQcDu7i6SyaSVHWDZdrfP4Hkl0FVVtTW7RxCd0E1P825wI4MuyzKy2SwMw8D6+rpjxluDIlz8yKCsiZx4RziOQzgcRjgcto6ZGYZhZdnrDejqe7N38z0YJIFOGfTeIYE+QHiVQWctVDKZDObn5zE1NeXYROkXgV5/nUKhAFVVkUgkbG+LNSiTdTv4+Rz4INyb4zjLNGdmZgYAkE6nLbGwvb0NWZYRCoUaSuOdPCPudYk9QbiJaZoQBMEyp3L63Xcyg24YBvL5PCqVCiYnJyFJUt+7Yvd6jG5QhG4/4uZnz/O8ZebKYFn2egO6SCRilca3031lkAS6Gxn0Qa+EI4E+QHiRQZdlGclkEqFQyBYTuMPwm0CXZRlbW1uWo3Yul0OtVrNKpJhhV68mI8MU9Ifdxd1tmGhnZ9kBWAZ0lUrFOk9ab0AXi8X6vs3bMH2nCO+p72leKBQQDoddcR92SqDXajWk02mMjY1hfX0dkiRBFEXb7+MmgyKMhhWvxW0oFEIoFGpqQMe6rzADOpZp379e9rqrip1QBr13SKAPEHaWb/M8D13XW/59vQncysqKNSkd9vO9flntEui9wly0X375ZayurlrPzrKSmqZBEARUq1Xr7G8sFrNEu50CZ5DwOoPuJX46/87K+Vhrmvre7NlstmETqt6ArptnoAw6MejsL2cPBAKuzTd2l7jruo6dnR0oioKVlRVrk8HNs+5Ooes6CoWCVarcabKBjs95j5/WVfUGdOyYma7rEEXRco1nR8yYYHfyuIvbuBHbRVGkDDrRH9hd4t7qWoIgIJlMYnx8HBsbG0d+Ce1yX7crAPZyDUmScPnyZQDAqVOnmp5jDQaDGB8fx/j4uHU/JnB2dnYOOGwf1rt+UCZrv+P17rtXtBNEm/VmZ5tQgiAgn89DVVVEIpEGA7p2yl29EOiqqvZ9KS7hf1r1NLczTh+FnTGzXC4jl8thZmYGi4uLDfNlv4vTSqWCnZ0dJBIJSzzV98jupESZ8IZ++OwDgQASiQQSiQSAnyZ7mAGdKIrQdR3ZbLahzVs/rk3cqAYQBMH6LAcREugDBM/z1mLAjmvtX0Touo7t7W1IkoQTJ060bQLHrtXrl9XLRYBpmshkMiiVSlhdXUUqlWp70mwmcOodtnd2dqDrOuLxuCXY6/tY90PgsQO7RHI379qwCvRun7vZJpQsyxAEAYVCAdvb2zBN03qnW/VmNwzDdbE86LvuhLfUl7M362nuZrbZjnspioJ0Oo1AIIATJ0403UzuV4Gu6zrS6TR0Xcfx48dhmqb1O2tWohwIBBpKlAdpo28Q4l+/PUN9y9Tx8XGIoohyuWxtFOVyOaiqilAo1NCbvR/eOzdK3CVJwvz8vKP38BIS6AOEUyZxpmmiWCwinU5jfn4eq6urHfdttiN42/V8nU4a+ysG7Jh0mjls12o1CIKAdDoNSZIQDAah6zpCoVBXJXfDxoULF/DRj34UmUwGr33ta/GBD3yg7fNJwyrQ7cpg15fzTU9PW9du9k7Xl8Z78blTD3TCKfaXszf7brmZQe+lxN00Tezu7qJYLGJhYeHQTJVb/dbtpFQqIZfLNbSFUxTF+vtmJcqapjU1AovFYoceCSScZxBiOMs61xvQsUqc+g4spml2bEDnNm5l0Ad5s51W/AOEEyZxiqJgc3MTwWCwaxM4u4K327v0hmEglUpBEAQcP34csVjMsbFwHGeJlrm5OQBXsuyXL19GrVbDhQsXYBhGg1lXs4xkP9NLgDUMA3fffTckScLy8jIef/xxLC4u4nd+53ccv3c/42SJOc/zDeV8wMHe7KIo4uLFiw0GdG44v5JAJ+ykVTl7M9wUs91m0EVRRDqdxsjICNbX19s+xtYPqKqKdDoNnudbVgS0IhgMHihRlmUZoiiiWq1CVVXUarWe2225Tb/87g5jEJ6hWdaZ41kTIToAACAASURBVLiWBnSiKDYY0NW/d14ndNzIoFMfdMJRNjc3O85It8LuDLogCLhw4UJbJnBHXcuuzLdbk3ClUkEymcTMzAyWl5ebTppOj4WVNY2NjWFsbAyGYVgLAZaRDIVClrgZGRnpi8WAE7BAtbKyAo7jMDY2hosXL3Z0jWEU6G5vTOyvHHnuueewuLhonWWv1WoNm1UjIyO2ZwcGfdedcBe2kd2snL0Zfs6gG4ZhGUEuLS21fYytHwQ6qwTc3d3F/Px8T2saRn2WPRAIQNM0jI6OHsh2sp+JxWJ9e6a4H+j3z7XdeFz/3jFYlp15KOi6jnA4bP1cJBJx1e/FjQz6oB9XI4HuMaIo2nYO064gKQgCNjc3AQBnz571zdlxNxYB7Jy9LMs4efKkK61w2oXneUu0MBRFQbVaRalUQiqVss79MtEeiUT6Jmj1Ihbj8ThOnz6Nl156CWNjYygWi7jhhhs6uvcw4rWLerPe7Lquo1aroVqtWtkB1srQjo2oQe+dSriDaZpQVRW6rrcsZ2+G22fQ253bmFHa1NQU5ufnPTnG5hSKoiCVSiEcDmNtbc2RjWz2ee3PdhqGYWU78/k8FEWxjq0x8USdLAigtzVQs+oOZkBXKpUgy3KDsGfHJp1aH7rVZm2QYzkJdI8JBAK2CfRed+Z1XUcqlYIoilheXsbu7q4tgcPOs+NOLgJKpRK2t7fbOmfvlwVJOBzG1NSU1ceanfutVquWoR9z104kEm27a/cbHMfhnnvuwWc+8xlsbm7iLW95C26//fa2/32zwMjOFDr5eXn9Dnkt0JsRCAQwOjraUM7HerPXb0Sx1oWd9manEneiF5gJnKqqAA4vZ2+G30rcNU1DOp2GaZo4fvw4QqFQV/dy65k6ETGmaWJvbw+FQgGLi4ueLOZZ6TE7IseOQ7BquHw+DwCuCSfCv9hZ0bbfgA64sqZhm0WVSsUyoHNis8iNtQUJdMJRnDg33g3FYhGpVApzc3NYWVmxSvbswG8Z9P3XUFUVW1tbME0Tp0+fbmuB4pZA7/Q++8/91oubendtJthblRB7tTjo5b5TU1P4kz/5E1vuff/99+Pee+8FAPz2b/82fuM3fmMgF0xenr3vpJyPLTTqN6L2ty7c35u9WQtEgEziiO7ZbwLXzXfHzQz6YZsBpmmiUChgb28Pc3NzGBsb6/o+bs0hndxHlmVsb28jHo+3dY7eDtqJ1fVnitlnbhiGVZ6czWahqqpVnhyLxVwpTx7E+NZvOB2PA4FAUwO6+s2i+iMZ0Wi06yNmVOLeOyTQPcZrga4oCpLJJHiebxCnTjnC++E6DLZAyWQyWFxcxOTkpG3X9gvNxM3+EmJZlhGNRi3R7lVZv9fZZMazzz6LT3/605idnQXHcfinf/onvOIVr8ArX/lK2+/lRhA7DC8z6Lqud33vZsc9WvVmZxtR8XgcPM9TBp3omE5M4I7CD33QJUlCOp1GNBp1rOTbCdjzHPbZm6aJXC6HSqWCpaWlBnPXdq/f7di6pZlzt6qqVtstSZKs8mSW7ey20oHwL26vB1ptFrVqL8jev3bmC7dM4tr1yehHSKB7DM/ztrXn6CTwm6aJbDaL3d1drKysHNg9t7MMz28l7qydSi/u9H4pce+GZiXErIf17u4uBEGALMtIJpOWaG+VjRxEMpkMeJ63npnneWQyGUcEuhtB7Ci8ur/dmwOH9Wbf29vDV7/6Vdx3332Yn5/H8vIyLl68iBMnThw5BsMwcM899+D8+fMIh8P46Ec/iuPHjx/4ub/4i7/A+Pg4PvCBD9j2TIS3HNXTvBu8LHE3DAO5XA7VarVj8eoHjoq7oigilUphdHQU6+vrns+t3cJxHMLhMMLhcEN5Msuyl0olaJrW0Gqrn/xmiOZ4vWEPHDySAfzUgE4URRQKBRiGcaDCo9m75/T7aBiG5271TjK4T9YneJFBr9Vq2NzcxNjYWEsTODvL8Ozsg97rddjO9EsvvdR0Y6Jd/Fri3u096ntY67qOl156CePj45ZoV1W1IcvuRDssv7Q629jYQDAYxO7uLjiOQyAQwNmzZx25l1+e2Quczt7vf6+PHTuG2267DX/7t38LQRDwyU9+Ei+//DLm5ubwl3/5l1haWmp6nYcffhiKouCBBx7A008/jY9//OPW8QfG/fffjxdeeKEjY0LC37TT07wb3DaJYwiCgHQ6jYmJib4Wr83iYb37/MrKykBWgdUf4WH3YiZgxWIRsiyD5/mGLHu74qVfkw2Dhl/XA60M6ERRtN49ZvjKYq7T75RfPys7IYHuMW6WkjMTuFqtdqCvd6fXsnNcnVynl89KkiRsbm7CNM2ue7oPC6xV2cjICJ566il873vfw/j4ON70pjdBFEWIothQZpxIJAam5G5lZQWf/OQn8ZnPfAaGYeDd735304ypHXgdZLxcmHlRXs86G9x666147WtfCwDIZrPW8Y9mPPXUU7jpppsAANdeey1+/OMfN/z9//3f/+GZZ57BHXfc0XFrP8J/2FnO3gy3v++maWJ7exuapuHYsWN9XQ3VbC3BNh4mJyextrY28It2RisTMJbprG+1xYQTZdn9jdfrgXapf/cY9RUe5XIZqqoilUo1nGcf1KSOU5BC8Ri3BPp+E7ijXmo7BbqdJe7dXMc0Tezs7KBQKGB1dRVbW1u+aR3nR+qf63//93/x8MMPY3V1FeVyGQ8++CD+7M/+DMFgsOHMby6Xg6ZpiEajDWd+O5k8/TTZvuIVr8Df//3fO34fP5S0eYVX59/3n0Gfm5s79Oer1aqVOQBg9TsOBoPIZrP49Kc/jU9/+tP46le/6tiYCecxTdPKmttVzu4lpmmiVCpBURTLBK6fnwdo3NzQdR07OztQFMUXGw9++GxbZdlZabKiKFYJcyfniQl38NMaqFP2v3uXLl3CzMwMJElqakAXi8UQCoW6ft5+/qzahQS6xzhtGNPKBM5NvDSJqy/n39jYAM/ztoxnkErcDyOZTGJ0dBThcBgzMzPY3NxEtVrFxMRE0zO/bDLO5XKo1WoIBAKWYB8ZGRmYLLtdeH0G3ct7+0WgH0UikYAgCNZ/1597+9rXvoZCoYDf/d3fRS6XgyRJWF9fx1vf+lbbx004R7c9zf0K6/sdCoUazjH3Oywesp7t09PTWFxc9M1C3W+b9vWZzomJCQDNzxOzDXdZlrt27SZ6x+v1gF0w8cx8FJoZ0OXzeSiKgmAw2HAso90NI1mWPTvK4hYk0D3GboHOvtzMyTSfz3d91trOfoxuC3TDMJBOp1GpVA6U83stevuJ9fV1PPHEE0gkEiiXy5iamrLM5fbDziDFYjHMzs4CuLIYqFarEAQB2WwWmqYhFotZor2+f/Uw7IjuZxifmeGlQO+kNct1112HRx99FLfddhuefvppnDlzxvq7O++8E3feeScA4MEHH8TFixdJnPcRzARuZ2cHU1NTA5E1z+fzKJfLWFhYwMjICF566SVX7+/k52eaJtLpNDiO66ln+zDT7DxxpVJBsVhscO2uP09MWXZ3GJT1QKvKwHoDOtY1ibV5q9Vq2Nvbg2EYlvnhYccyhqEbCwl0j+F53jrrZhcsazw6OtrSBM5N7HrGdoV1tVpFMpnE1NQUNjY2mvb47pcMutdcf/31qFQq+P73v48TJ07g9ttv7yhYB4NBTExMWLv3pmlaPTdZ/+pgMIiRkREEAgHXzJP8gtd9yL2kXzLot956Kx5//HG8/e1vh2ma+Ou//mt85StfQa1Wwx133OHgSAknqTeBKxaLmJ6edvW7aPd3v1arIZ1OY3R0FGtraw3fLTfmGWbi6sR9TNNEuVyGIAiYm5vDzMyM7ffolX4VVizLHg6HsbCwAKBRNO3u7tpamky0ZlAEeieVAMFgsGlXoWbmh+x/oVCIBDpxkGq1ilqtduS5xXaxM4Ou67pV0n6UCZybuJVBZyZ4oihifX29ZflLPwl0rzcCeJ7HLbfcgltuucWW63Ec19DvFQBUVYUgCCgUCqhUKnjuuecQj8etLHs0Gh2IoNUML8+ge9kD3cv7C4LQUWDneR4f+chHGv7s5MmTB36OMuf9Qb0JHMuYOykum9FOP+92YRUAsiw3dTB3+5nsRlVVpNNp8DxvxQS/4vWmp13sF02sNFkURas0ORQKNZQmexlLBuVzHxSB3su6pr77CqPegC6dTuPuu+/G5OQkVFXFk08+iXPnzrXUO0e1SX3kkUfwj//4jwgGg3jb296GX/u1X7P+bnd3F29961vxr//6r01jvtOQQO8QtrtjF3YJ9FKphO3tbXAch9OnT9s2WdoxYbgh0MvlMra2ttoywfNa9BKNhEIhTExMIBAIIBgMYnl52cqyp9NpSJKEUChkucWzbPsg4OWZM68N6rwS6Kqqem4oRbjPYT3NWRx26320637lchnZbPbQs9jMXNXpOdPuuGqaJorFInZ3dzE/P4/R0VFsb2/bdn3ipxz1e9vfG5ttcrE4nc/nAQCRSMT6uWAw6GpsGxRhOwjPYfe6pt6Abnp6Gp///OfxzW9+E1/5ylfw0EMP4ROf+AQA4H3vex9uvvnmhn97WJtUVVXxsY99DF/84hcRi8Xwjne8A294wxswOzsLVVVx9913N2wUuA0J9A4JBALQdd3W6/Ui0FVVRTKZBACcPn0aFy9etLU9mh3Y6eK+/9k0TcPW1hZ0XcepU6faWnjb8VzDJPI1TcPm5iYCgQBWV1cdX8TWt29jKIoCQRBQKpWQSqVgmibi8bgl2t1qH8MWJnadffQyIHttSFNvtuYmg7AAIjrjqJ7mTpu17odl7LuFZZU5jsOJEycO/R71eq92sTMmKoqC7e1tRCIRrK2tWZsLTsfdXuaGYZpXOI5DKBRCKBRqMABjWc5sNmtthLIseyQScWztMChrsUER6E5v/rNqmquuugof/OAHAVw54tOMw9qkXrhwAceOHbNMNK+//no8+eSTeNOb3oRPfOITePvb345//ud/duw5joIEeofYHci7vR4zg8nlclheXrZeMHY9O3bL7dp5tyuo7l9oFAoFpNNpLC4uYmJiouOWXr1g50JBlmXk83lEo1FMT087dp92ME0TTz/9NL7+9a/jzJkzuOmmm/CFL3wBL7zwAkzTxA033IA777zTkcn3sODE3ECZsYhhGKjVahAEAdvb25AkCZFIxBL2nWTZ2/18v/e97+H3f//3USwWcfPNN+NTn/pUz2egvBbow5hBJ4aHdnuaeyHQu437e3t7KBQKWFhYaGj/14pu25N2ih2xyjRN7O7uolgsYnFx8UA5u983xv08Nqfheb7h+BrrjMD6YkuSZJUvs7J4O03+BkXYDsJzuBHba7Vaw/zXai12WJvUarXaYHo8MjKCarWKBx98EFNTU7jppptIoPcTTgj0TjPyoihic3MTIyMjB0zg7ByfXWLfzhJ3lgnZ3NwEz/M4c+ZMx1k4PwX5arWK//iP/0CxWIRpmnjjG9+IG264wbPxvPDCC3jooYfAcRw2NzfxqU99CoVCAadOnYJpmvjBD36Am266yZPzOPWwHdREIoH5+Xmr36sgCCgWi1aWnYn1RCLRsn1MO0FRFEW85z3vgWEYmJmZwWOPPYZ7770X73//+3t6Di/LzL1eDHgl0P3y3Seco9Oe5m4L9G5EsyRJSKVSiMfjWF9fb/u70y8ZdPZ8IyMjhz4ffX/7g1ZttliLt1KpBE3TEA6HGxzju4lJXscyuxiU53CjOk8UxbZ8tg5rk7r/7wRBwOjoKD73uc+B4zg88cQTeP755/Gnf/qnuPfee63uRG5BAr1D7C5x72RhYBgGUqkUBEHA6upq0x0jOxcadma+7RqTKIp48cUXG6oGOsVPJnE//OEPUSqVsLq6Ck3T8Mgjj+Dqq6/2zOBva2vLylrMz8/j0qVLUFUVwE+zT3a+//X0Epzq+71OTU0BuPJ9EQQBgiAgmUxCURSEw+GGvuztmkMVCgXIsmy50YfDYbzwwgtdjbUeL8vMvc5gu3Eudj+s7yoxuLDNulbl7M3wc4m7YRjIZrOo1WpYWlrq+Eyk3w1NDcNAPp9HpVLB0tLSobHPT5vr++l3YeXG+Jtl2RVFgSRJKJVKyGazDY7d7Cz7sDAoAt2NxEOtVmvZ8reew9qknjx5EpcvX0axWEQ8HseTTz6Jd7/73filX/ol62fe9a534Z577nFdnAMk0DvGqxJ3ZgI3MzOD5eXlll9iOwOYk2fHO0WWZSSTSWiahquuuqqnhb2fBLqqqlYAYou2egHs9mQ9NzcHQRAQiURQKpWwvLyMarWKixcvAgDW1tZw4sQJV8fULTzPH2jfoSgKqtUqCoUCtra2rN7tmqZBluWWWfa5uTksLS0hmUwiGo1CVdUDZiTdQCXu7t5fFEVfu0AT3dNuOXsz/FriXq1WkclkMDk5ibW1ta7mCj+XuIuiiFQqhbGxMayvrx/5fG75jAyCSOoH6jfWWcKFOXazLLuu6w1Z9mZ+M4P0OxuE53Argz4/P3/kzx3VJvWDH/wg3v3ud8M0TbztbW9r65puQQK9Q+x+6Y4K1PUmcO2YoNld4u7E2fFOME0T2WwWe3t7mJubQ6lU8k3JvR1cc801ePrpp7G5uQld1/GqV73qwLlCN8d67tw57Ozs4OGHH8b09DTuvPNOjI6O4rnnngPP87jmmmscc8B2OsjWLwbYWX9d11Eul1Eul60seyQSsbLs8XgcPM8jGAzis5/9LP7qr/4K29vbePOb32xLD2yv+6APW4n7MPROHUb2m8B1+l77rcRd0zSk02mYponjx4/3dFbXjyXurCpAFMWmreHsuIcX+Hlsh+Gncdc7dgM/3VgXRbGhLzYT7LFYzFfjJ9zJoAuC0JYHx1FtUo9qI/y5z32u+0H2CAn0LrBzMmi1kKg3gVtaWrJKa4/C7hJ3uzLo3VyHnbVPJBLY2NiAqqooFou2jMcvGfS5uTn85m/+Jra2thCLxXxxtvvmm2/G8ePHcfr0aevPf+ZnfsaR+1WrVTz++ONQFAVnzpxpq2TJTgKBABKJBKLRqHXOXpZlVKtV7O7uIplMguM46xz73/3d39m6QWGapmct47zOoOu67vr9O+2BTvib/T3Nu32f/FLiXt9abG5uzjq72wtulri38xkKgoB0Oo3JyUnMz893tJniZ4E+CJlPP1K/sc7QNM1yjC8UCtB1HYZhoFgsIhaLtayEI9zBjQ4toigOfCwnge5D6k3gNjY2OlrAO2ES1yudBlXDMJDJZFAul3Hs2DHrS+hGP/VOrmEXU1NT1rlpJ+/jN2RZxic+8Qkkk0kEAgFwHIc//MM/xNLSkqvjqM8kM5fZaDSKmZkZAFeEpCAIVr9XVVURjUYbsuzd/p68ajXG7j1sJe6UQR8s6s+a9zJX8jxvlca7QbPYKssyUqnUgdZiveKXEndd17GzswNFUXDs2LGuNzr9KtAJ9wgGg5ZJLHDlu5PL5awuB4qiIBAINDjGe7URPoy4kUEfhuNqJNB9hGEYSKfTqFQqDcK0E/xqEtfudQRBwObmJiYnJ7GxsdGw6PKTQAfcWygMyoJEVVVsbW0hEolgcXERm5ubSKVSWFlZgaIoSCaTOH/+PK6++mpXx3VUqXcgEMDY2JiVzTJNE5IkoVqtIpfLoVarWWV5TLS3W5JKJe7uZ9AHPagPE3a9P16WuNebpC0uLtq+geSHEvdKpYKdnR1MT09jcXGxJzNQP8dDP49t0AkEAlYbVuBKll0URdRqNezt7cEwDEQiEcRiMcRiMYRCoYFOgHiJW23WBn2znQR6F7BgbucLWC6XsbW1hZmZmQPCtJux2YGdGfSjrlPvUL+2ttbUqdZPwdmtrMSgIIoi/uZv/gYXLlyAaZr45V/+Zdx4443I5XL4wQ9+YJ0hfctb3uL62HRdR7FYhCRJbTkkM2O5WCxmOXtqmmZl2bPZLDRNQywWs0R7LBbrusWbU3idQQfcrxCp1Wok0AcIu94fL0rc2ZyRyWTaNknrBi8z6PVn6U+cONFztZCfBZWfxzYM7P/8g8Fgg0msYRiQZRmSJCGfz0NRFIRCoYYsu9fxcFBwyyRu0GM5CfQusFOgq6pqlee0YwJ3FHa7uLuRsa5UKkgmk5idnT3Uod6t8bR7DTfwYlPCifs98cQTOH/+PNbX12EYBh566CG87nWvQ7lctgJlJBLByy+/3PY1v/Od7+A///M/EY1G8Xu/93vY2NjoeFzFYhF//Md/jOeeew5TU1P40Ic+hFe/+tUdXycYDGJ8fNxyojVNE6IoQhAE7OzsQBRFBIPBhr7swWDQ0z7oXpbXe8Uw7LoTneO2QAeuzD3VahWrq6uOGW8C7mXQ6+9jmiZKpRLy+bxtZ+kB5+Mhiez+pJ13ghnLxWIxTE5OWv4VrBoun8/DNM0Gwe5mlt0vySc7cKvNGgl04gB2BHPTNLG7u4tsNotgMIi1tTVbXmg7z9LZaRLXbPLRNA3b29tQVbWtzQmnx9Mpbpe4a5qGJ598Etvb2zh+/Diuu+66vtnxlSTJOmfO8zw4jkO1WsX8/DzOnTtnLegqlUpb13v22WfxoQ99CIlEAqqq4v3vfz8++9nPtjzL34r77rsPL730EhYWFsBxHD784Q/jS1/6ki2ZHtbvlWXZVVW1+rLv7OxA13WYpgnDMKydfDcXiF6XuHsBmcQNFv2WQTdNE+VyGTs7O4hEIjh+/Ljj30G3M+iqqiKVSlnrGjvP/vq9cq2fRVa/x4JOx89xHEKhEEKhUEOWnZnP5XI5qKqKUChkCXYns+yDFI/dyqDHYjFH7+E1JNC7IBAINPSq7hRRFJFMJhGLxbCxsYELFy7YlpH3a4n7forFIlKpFObn5zE1NeXqxOQnF/dO+Na3voUnnngC4+PjeOaZZyBJEl7/+te7OoZuue666/DlL38Zly5dgq7rOHv2LE6dOoUbb7wRjz/+OGKxGKrVKn72Z3+2rev95Cc/gWEYVneDTCaDS5cudSzQ0+m0ZfI2MjKCYrEIURQdcZMPhUKYmJiwxmyaptVfPp1OQ5Iky/yGZdqdzHD7ocTdbWq1mmX+RxAMN4SfoihIp9MIBAJYXFyEIAiuxD03RS3rfrGwsNBWC6Ru6GcRTDiDXeKW53lrY51dV1VVSJKESqWCfD4PAA1Z9mAwaMu9B0mgu5FB97IDjluQQO+CboVrvTv56uqqVZ4RCAR8J6oBZwJ7fV/306dPd9Tf1a7J6yhxnUwm8d3vfhfBYBA33XQT5ubmHBvLUdTf55lnnsHKyoqVbf3Rj37UNwJ9YWEBH/7wh/HDH/4Q0WgUN954I4LBIN73vvdhY2MDqVQK6+vrOHfuXFvXW1pasoKnpmkwDAPz8/Mdj+uWW27BE088AVEUsbe3h+uuu86xheV+OI5DMBjE1NSUNReoqopqtYpKpYJMJgPDMBCPxy3BbmeW3UuB7tUiexjK4ojOsTMG74dVyxWLRUu4iqLommh2o8RdlmXs7e0hGAxifX3dsXnFTz40++lnceXXz7RdnBo/x3EIh8MIh8PWMQ2WZRdFEeVyGaqqIhwOW4I9Eol09f4PkkB3OoPe7+9ru5BA74JuRHC5XMb29jampqYOmMD5MevNrmVXuTxbpOzs7HTU190JDgvyuVwO9913H2KxGHRdx8WLF/Ge97ynqWhzu8R9dnYWu7u7mJ2dRalUwvr6uiv3t4v5+Xm86U1vavizcDiM2267DQCQz+ePfHdN00StVsO1116Lu+66C5///OcRiUTwwQ9+EMvLyx2P6dZbb4Usy3j00Udx7tw5vP3tb/e0zDwUCmFyctJyozUMA7VazeodLEkSQqFQQ5a9213kYXSQpxL3wcLOTVsnBLMoikilUkgkEg3C1c2stpOilsX1UqmEsbExBAIBRzf9/C5ghkU4+BG33o1WWXYm2CVJAs/zVkl8LBZrqxJu0AS6G5v/g/J5tYIEehd0UuKuaRq2tragaRpOnjzZ9Jw1z/M9lczvv5bf2qwpigJZllGtVjvu6+4Ehz1XOp2GruuYnp4GAGxubiKXyx0Q6F7s5P/Kr/wK7r//fmxubmJ+fh6/+Iu/6Or9vUbXdfzLv/wLHn30UQQCAfzWb/0WvvGNb/TUA5njONx888249tprsbq6avOIj+aoQMbzfEO/V+DK96laraJUKiGVSsE0TcTjcUu0RyKRtj4PLzPoXt2b2qwRzbA7y6zrOrLZLCRJwvLy8oHuEG4ZtwHObQZIkoRUKoWRkRGsra2hUqlAURTb71OPG5sNsiwjHo9bJmGE//FyY6Q+y85MYnVdt7LspVIJuq4jHA5bgr1ZjPbSMNYJnM6gD7o4B0igd0U7IrjeBG5xcbGhP2M312sXu13cexmXaZrI5XLI5/MIhUI4fvy4LePqlcMWLGNjY9B1HZqmWSZeTpxHbpf6SWhmZgbvfe97IUlSy7Zd3SDLMhRFQSKR8HTSO2rS/f73v49vfvObWFtbg6qq+MxnPoOrr74aCwsLjt7XSbq5dzgcxtTUlHXenmXZq9Uqtre3IcsywuGw5RYfj8ebbop57SDvxb3JxZ1ohp1xk/X8npqasswn9+Oma7zdmwGGYSCXy0EQBCwtLVmbD25sWjt1D7bZwI4TybKMUqkETdMaemeHw+GW8/UwCAa/4jfBFggErAo34Mr4FEWBKIooFouQZdnKsrN3y2/P4GdkWW6rJW6/QwK9C44KrpIkYXNz0zKBOypj7OcS926DoSRJuHz5MkZGRnD27FmcP3/eljHZwWGT4IkTJ3DrrbfiscceQyAQwFve8pamplL1CwVW4tRLS45sNotHHnkEtVoNN9xwA6655hrr7+p/B6y8yi6effZZfPGLX4SqqtjY2MAdd9zh2yCxu7trlVCyHWh2rrNX+kmg72d/lp0tBgRBQKFQwPb2NkzTtAT7yMgIwuGwK06rrfBSoFMGnXACVVWRTqfBwIF7sAAAIABJREFUcRyOHz9+aPbV7RJ3u+5Vq9WQTqcxNjaGtbW1hvnDraoyO+9hmiby+TzK5TKWlpYQDoehquqBuZR5lMiyjGAwaImqQeqd7de43y5+Hj/HcYhEIohEItaf6boOURQhSRIKhYJ1nLRYLB65GTTsDMtRNRLoXRAIBJqezW5lAncUfhXo3QR20zSxs7ODQqGAY8eO+XYxfFiQv+mmm/C6173OagnWjPqWMpubm1bGPRwOW2IpHo+3FbwlScL9998PjuMQjUbx5S9/GWNjY45XHNRqNXzhC1/AzMwMIpEInn/+eTz11FNd9QG3i8MC0rlz5xAIBLCzswNN0zA5OWlLWbqX5XFO7JrXLwZYll3XdSvLvre3B0VRoKoqdnd3MT4+3va7aheUQSfswA8LWNM0USgUsLe3h/n5+bYqrtwuce/1XoZhYGdnB5IkYWVlpUFo2Hmfo7DzHvtL9JsdNayfS5lvDnP1Zr2zgSuu3uFw2LajikRn9OPZ/0Ag0LCxXqvVUCwWAcCK0YFAoMEx3uvjoX5hWOI4CfQuaCaCK5UKtra2mprAdXM9O8fm1rVqtRo2NzcxPj6OjY2NAwtwv5TwtBPk25kIJUnCiy++iOXlZYyPj1u77azVTDKZBM/zDZnLZlmVUqlkLXwAIBKJIJPJOC7QJUmCYRhWqVA0GkWpVHL0nodx1PuxtraGu+++G1//+tcRj8dx++23H9gAMgwDqVQK4XAYs7Ozbb1vXr6XbgnVQCCA0dFRSzyYponz588jFApZ7yprNcfe12Z+GXbh5Rn0Qe+dSnRPp3MBE3mxWKwj93I3PUx63QyoVqvIZDKHluwD7lQF2NXOqj5r3ul80Kp3tiAIUBQFly5darssnrCPQfiM97di1TQNoiiiVqthb28PhmFY7xbbFPLbc7sxr5FAJ1pSL1zrTeDW19eb7ix3cj07x9Yr7S4iDMNAOp1GtVrF8ePHmwY8tkjww2TS6+KIlTJqmoaNjQ3LobN+t52ZzGmaBkEQUK1WsbOzA13XLUOvRCKBSCSC0dFRBINBlMtlRKNRSJJkldU7uZAbHx/HysoKLl++jFgsBkmScPbsWUfuZRdXXXUVrrrqqqZ/pygK/t//+394+umnYZom3vrWt+LXf/3Xj3zn+u0Muh0wY73p6WlrM0rXdQiCAEEQsLu7C1VVEY1GLcEei8VsE9VeCXRN0xzdeCD6FzbXtmuwyM5hLy4u+nrTp1vhrOs6MpkMNE07smSf3cfvGXRZlrG9vd2QNd9//U5hx84ikQhkWcby8nJDWTzLhPq5LL4fM9D1+GVt2QvNjpwFg8EDG+uSJEGSJOzu7kJRFN8duXDjd0ECnWgJK3FnbcMWFxcxMTHR9UtpZzszt03iqtUqkskkpqencebMmSN31+2YPHqdAHr5jAqFAtLpNKampqzJ8TCCwSDGx8ctd0/DMCCKomXoJUkSIpEIbr75Zjz++OMQRRE33nijJZidJBAI4F3veheeeOIJVCoVvPKVr8SJEyegqqqj921Fr7/X733ve3jyySextrYGXdfx4IMP4vWvf/2RlQjDKNCBgyI5EAhgbGzM6vfKFgOCICCXy0EURasihIn2bl2OvRLo/b6IIxqx8/fJ4t1R7yXLKE9MTBw4h+1Husmgl8tlZLNZzMzMYHx8vK1ndKNsv9vY3WvWvJP7dFIWz4RVO224iMGmnbUAx3HWO8OMp/e/W6ZpNpTF9+KN1A1umM+KokgCnWiOpmkolUrgOM6WtmF+dnFvdS1d1y3H6HYqB+waVydZDjvHomkaNjc3wXEczpw5A0mSsLe3BwCWM2cikTjy/GG9wJmfn28oi5+ensazzz6L73znO/jBD36AiYkJ/MIv/IKjE1E8Hscb3/jGA3/u90VnM6rVKnieB8dxCAaD4HketVrtyH/n9e67XzcH6hcDrKKDVYQw0a5pGqLRqHWEIx6P+77FGzFY2BVbjorDmqYhk8lA13UcO3asbyoxOvl8NE1DOp0GcMUwtRPh6FeTuKOy5nZx2LzXqix+fxsuKovvDq9juB10+wzN3i1ZliGKIvL5PBRFQSgUsgS701l2N8xnh8XslQR6BzCjlEKhgGg0imPHjtlyXTdbrnRCq9K4UqmE7e1tzM3NYXV11dXddTsWAZ1eg2XNl5aWrB1xdo1cLocvfOELkCQJPM/j9ttvx9raWkdjYbvtk5OT+MY3voFz587BMAxsb2/j29/+Nq677jooimJlLQ/rc12r1awz2CsrK30lgnoNstdeey3i8Tg2NzdhGAZWVlba/l30e3B3i/0VISzLXq1WkcvlUKvVLPMbthHVLMtuGAYZ3hC+olUcNk0TpVIJ+Xwes7OzGBsb66v5op0S9/pnnJubs6poOr2PnzLorNVtqVRyNGveDawsnm2+D5NbvBP0e4k+YN8mA8/z1nvDrsvOslcqlYYKDpZpDwaDts1pbmy+U4k70QAr5Z6cnMSpU6dw+fJl264dCARsFeh2fdH2L1g0TUMymYRhGDh9+nRH5a12Gci4KdBZ1hwAzpw505BNYNf4zne+AwBYWVlBrVbD1772NbznPe/palymaVo76YFAADMzMxgbG7PKDAVBsMri92cteZ5HpVLBAw88gHK5DMMw8IpXvAK33nprXy0me2FpaQkf//jH8T//8z+IxWK45ZZbrOzEYbutgxDcu8GO96I+yz47OwvgyvemWq1CEARks1lomoZYLGa9r7FYzBOB3s6RFGJ4aSbQZVlGOp1GOBzG2tqare+sHdVg7d7nMBRFQTqdRjAY7OkZ3RLo7eBW1nw/3T6/H8ri+32d0O/jd2ou4DjOyrKzjbf6Co5KpQJVVREOh633KxKJdP2dcaPEvVarWUmCQYZWK0egaRq2t7ehKIpVyq3ruq2C2s8ZdNM0rTYymUwGi4uL1tmXbq5l15icvkaxWEQqlTryeSVJskodQ6EQyuVy1+MKBAK4/vrr8f3vfx+BQAAcx+HGG28Ex3GWqRwri5dl2XKL39zcRCAQwIULF5DL5Sw34WeffRavec1rrIDvd+wIUCsrK3jnO9+JSqWCj3zkI3jmmWdw+fJlXH311fiDP/gD/NzP/Zwj9+1HnFpMB4PBBida0zQt34WdnR2IogjDMKxF5sjIiCvCeVh23YcNJ0rc688sLy4uOvLesPt5VUlimib29vZQKBSwsLBgtXvqFj9k0P2cNe8UKotvHzdEodO4+QzNKjhUVYUoiiiXy5Akydp8r8+yt4MbJe6iKGJxcdHRe/gBEugtqBelCwsLmJyctF46uwV1s/6bfoBlvS9cuIBgMHggi9wJdn1mdgn0VrAqAdM0D60SYON4zWteg//+7/9GuVyGqqq45ZZbehrbq1/9aiwuLkIURczMzIDneVSr1QP3ZuVJ9WeD0+k0ZFm2zkkWCgUUCoWOg/cgZJS/9KUv4cc//jFefPFFyLKMxx9/HNlsFv/wD/+Aa6+9tuFnByG4+xmO4xoWAwCsTaVKpWK9r6y7wcjICKLRqO1BfljOrRHdwWJUrVZDOp3G6Oio42eWvRLosiwjlUohGo121B7uMLwW6F5lzevH5iTNRJUsy5YfTi9l8f0e8/t9/IC36xCO4xAOhxEOh63MtK7rlmN8qVSCpmmIRCINWfZm77xbGfRhiOUk0JsgyzI2NzcRDoebilK7A5ETGfRes4IsgyDLMlZXV7s6k1aPnzLoQPMJvd2sef04Tp06hXe9613IZrOYmJjouXc5x3FWP3QAbfclDwaDuOGGG/Dyyy+jWCzCMAy89rWvRSwWQzKZhCzLVll8IpFo28zLbewaUz6fh67rUFUViUQCtVoNuq7j6aefbirQ/fhZDDIcx2FsbKwhO8Sy7Ol0GpIkIRQKWb4LIyMjPQsZyqATR7G7uwvgSiVONy1TO8EN1/P9OFkZ4JVJnJ+y5m7+Pus36sktnkrc7SYQCFg+MkCjT0KxWIQsy+B5vsExPhgMkkmcjQzut7ULTNNEJpNBsVjE6upqzyVf7eJERr6XnXlJkrC5uWl96XoV54C/BPr+a/Ryth64cvZ5aWmppzHZwcjICN7xjndgZ2cHoVAIi4uL1kRZXxa/38yLCSCvg7edi5uf+7mfw9e+9jUoigJN0zA1NXVg86P+vn4KjG7g9TPvN5Kp727AUBQFgiCgVCohlUrBNE3E4/G2zBKbIQgCCfQBxI73uFwuo1AoIJFIYHl52ZXvhttH20RRRCqVcqwywIsMOsuax+NxT7LmfuOosniWBR20svhByaD7+XdR75PA0HUdoihCkiQUCgVLnAeDQciy7Nj7RW3Whox6E7iNjY0jJ3on+q/afb1OBbppmshms9jb27M2KJ5//nlbx2THdewU6MyRfv8xhk6u4SSd3icajTbN4jcri1dVFYIgWGXGhmEgHo8jGo3CMIyuAoZhGHjsscfwox/9CPPz87jttts62uCx63t1/fXX42Mf+xj+7d/+Dd/+9rcxPj6OX/3VX8Ub3vCGAz/r98DoBF63OWvn/qzkjlWzsPJjZpbIFgBMsMfj8UPnPMqgE/tRVRWpVMoy5QTcy8TZZZx6FIZhQFVVpNNpLC8vIxqNOnIfN03i6rPmTlQCuPnvnKTdsng2b3odF3rBj59/J/TjOqQ+yQP8tEJH0zTs7e1BURTLVZ5l2u040kMCfUhoZgLXDsw8zS4nZK9L5kVRxOXLlzE2NtbWBkWn2JlB73VRw3EcdF3HpUuXoOt6V1lztwS6k4RCoQYzLyaASqUSRFHE888/j0gk0lFZ/He/+1189atfxcLCAp599lns7e3hve99b1vjsfvzvP7663H99dfDMAzoun7o7/goXwInqgu8fH+8Xgx0sxDkef6AWSLLshcKBWxvb8M0TSsTn0gkGnbwBUEYirI44miaGaSVSiXIsuzaGNzIoLO2mzzP48SJE30rvhj1sTsWi1HWvENalcUXi0XUajVsbW0B6L+yeK/jmR24URruNBzHIRAIIBKJWIkZTdOsKg6WZWdVHNFotKssO5W4DziHmcC1A8vk2iXQ7aSTwG8YBjKZDMrlMo4dO+bYrpSfStyr1SoqlQqOHz/e8e+9X8lkMnjmmWcQDodx/fXXN81qMwEUDochiiJOnjx5oCyeuW4zobR/N/Sll17C9PS0JZIuX74MWZYdP895GDzPH7qIa/U+7e3t4a677sJTTz2FpaUl3HfffTh37pxt4/JyUeF1psSO+9eX3E1NTVnXFQQBgiAgmUxCURTs7u7iySeftDLynYzxnnvuwfnz5xEOh/HRj360oTrloYcewn333YdAIIAzZ87gnnvuIbHgAZ1+h0RRRDqdxsjISINBmtsl506eQdd1HdlsFpIkYXV11dq86mfYpoosy1hbWxuKDJobhEIhxGIx8DyP6elpyw9kvzmYn8vi+/3dBgZjkwE4aBIXDAYPZNllWYYoigfMDdnm0VFZ9lqt5toRZC8ZWoHOFnLdOpOzYO7HBVm7C439Zf2tJgc7Jg4/uLjruo5kMglVVTEyMmIt6t0YhyzL2NraAs/zOHbsWNtlPnZsSOzu7uLf//3fEQwGoes6XnzxRdx1111HiuZWZfFsgyOdTh/IWC4vL+O5557D6Ogodnd3MTs727Yo8ipAtbrvn//5n+OHP/whxsfHkc1mcdddd+HJJ5+09b5ezR9ez11O3Z/neYyOjlpnME3TRLFYxObmJh577DFcuHAB3/rWt3DNNdfgVa96FX7+53++5ffg4YcfhqIoeOCBB/D000/j4x//OO69914AV3w6PvnJT+IrX/kKYrEY/uiP/giPPvoo3vjGN9r+TIQ9GIaBbDaLWq2GpaWlA6Xebgt0p0rcq9UqMpkMpqamsLCwAI7jPDGksxPmOs8EIolz59jvB7K/LF5RFAQCga7c4p2k38XtoAj0oyoB6teVDGZuKAgCdnd3YZqm9TOxWAyhUKjhmpIkOXZUx08MrUAPBAJYXV3t6d/ruu7L8p+jRJ2u60ilUhBFEWtra4e+6Hb1avU6g14ul7G1tYX5+XmMjo7i8uXLro1DkiQ88MADyGazAIBTp07hzW9+s2vtdba3t6HrOpaXlwEAyWQS+Xze+u9OCIVCmJycbDgXLAiCtdkzOzuLEydO4P+zd+bRcZRX2n+qet8ktXa1dsmWvNsYW7axzWJjs8RAwME22AECZCDDDExCZg4EyEc4hEwmCZkZDk5CNgIJgcQQBtsxSTCrcYB4B1sIS7bW3tXqfa3l+8Oniu52d6uX6kVS/c7hJKDuqreqq973vfc+996BgQE0NjZix44dJb/oJFsYOYk/QRDQaDQwGo2IRCIZp0Mko5iStmJvBgrlICAIAnq9Htu3b0cwGMS1116LdevW4eOPP8bx48dhs9kSFg4EgMOHD2Pt2rUAgCVLluCTTz7h/yaXy/Hiiy/yFaO5KJNIaeLxeGCxWKDX69He3p7w2S9GBF3I89E0DZPJBJqm0draGjNPFSrfXWiiUxEMBgPUavV5bUfzcc5SX7OEJtVeZipUi5/KzieO6fLcZRN4SFTckIuy2+12hMNhyGQyHDt2DHq9HiRJTrp/nkwB9+abb+Lpp5+GVCrF5s2bsWXLFkQiEXzrW9/i056/9rWvFdXpXnrW5RSh0It5JqQaG2eo1tTUoKmpadIJodiGda7HoWkao6OjiEQifK45RVEFndAHBwdhtVr5yWFgYABWqxUNDQ0FOb9arQZFUXwuNlcNWwgSRSy7u7vh9Xr5xdvpdMZUi082sZZaBH39+vX42c9+BuBcBGfp0qWCGeepzlsIih1BBwof8eDy1jQaDVauXImVK1em/LzX642R0UkkEr4eAUmSvKrk+eefh9/vx+rVq/M6fpHETFY/glP6xBut8Uxlibvb7YbVakVNTQ3KysrOuydTsWZKOBzG2NgYVCqVYL3a02E6GEn5JpFBFS2Lp2kacrm8YLL46WDcTodrAITZW3CF5TgHOMuyoCgKSqUSf/3rX2E2m7FlyxYsWrQIS5YsQU9PD+rq6mKOkUoBF4lE8L3vfQ+7du2CSqXCTTfdhMsuuwzvvvsuKioq8IMf/AATExO4/vrrRQN9KlKKvcs5Eo2NoiiMjo6CoijMmjUrbdmxkNXXKYrK+TiZbDSio+Zcmy2hyGQc0Z/l/jeTavG50tHRgeXLl+PYsWMgSRIbN26ctM97thAEwU+sNTU1AD6XxUe3y4rOY88kLzgfsCwLo9GIUCiEzs5OXtr3wAMPAAD279+POXPm4Lvf/a7g553JBnqhybSKu1arhc/n4/+dYZiYyBDDMPjBD36As2fP4qmnnpoWm6vpAldjxuFwoLa2Nq1OEoWWgXMFz3KBq85OEATa2tqSRi6nksQ9UdS8UIjvcHZMJouPzjPOlyx+qv9208lAF/o6CIKATCbD+vXrsW7dOuzYsQO/+c1v8Mknn+Do0aPYvXs37rzzzpjvpFLADQwMoKWlBeXl5QDOFRQ+dOgQrrzySlxxxRX85wqlck2GaKBnCSdxFwqhpOTRx+KYmJiAyWTKqRherhQygh4dNU/kjMhHL/VUtLW1wWAwYHh4GCzLYs6cOaitrU37XLmOlTPK165dC4lEUnCDOJUsfnx8HJFIBEqlEpFIBCqVClqttqAL1Z49e/DLX/4SUqkUlZWV+OUvfwmDwQCZTIZHHnkEjzzySF7OW8wc9OmyGciETPugL126FG+99RauvvpqHDt2DF1dXTF///a3vw25XI6dO3fOOGdHKcPlKyuVSrS3t6e9ppIkKeians75IpFIVt/laiuMj4/zaVupmCoR9GJFzUWEJZksPhAI5EUWPxWe7cmYLmtyvvc1nANArVajp6cHPT09CT+XSgHn9Xpj5kyNRgOv18s7mLxeL+69917827/9W96uIx1EAz1LSqV3eapjRSIRDA8PgyTJrIvhCZW7VigDnYua19bWoqqqKuGEV+jNikKhwJYtW2AymUCSJBobG4uy8eDkQsUmkSw+GAxieHgYExMTsFqtMZU/U8nic8Xv9+OZZ55BZWUlVCoVLBYLnnnmGTz66KN5OV80xcxBn4kR9EzbrG3YsAHvv/8+tm3bBpZl8cQTT2D37t3w+/1YsGABdu3ahWXLluHWW28FANxyyy3YsGFDvoYvMgkMw8But8Pj8cBgMGQ83xU6ypzt+cLhMIxGI+RyedoOiELJ97m1NdN5rZhRc5Fz5Hst4mTxnJpFaFn8VDdup4uBnu99TSgUSmtuT6WAi/+bz+fj96Mmkwn33HMPbr75ZlxzzTUCjz4zRAM9S4Re8CQSiWDHIwgCHo8HVqsVjY2NvIwjG4SUuAt1nESbGpqmMTY2hlAoNKmEv9ARdOBcUanoAhWZnGe6Ey2L51q0FUoWHwqFYoo9SqVSuFwuQY49GTNV4l6saEemEneSJPHYY4/F/LfOzk7+/3/66aeCjU0kewiCgM/ng8lkQkVFBTo6OrJ6rwrtuM3U+R1txDY0NGTkbCrUtWVjoHNRc6VSKUbNZxDJZPGJ2m9NJosXI+ilQ74j6D6fLy0DPZUCrrOzE0NDQ3A6nVCr1Th06BDuuOMO2O123H777fj2t7+NVatW5e0a0kU00LMkXxL3XAmFQrDZbCBJEt3d3VO++nqi48TfJ4/Hg5GREdTW1qK5uTmtwndTiWIsPsUq1sYRL4unaRp+vz9GFq9SqXijXaVSZTXmiooKrFixAh999BGkUikkEgm2bt0q2DWlopgL8kw8N1ckTmR6QVEUxsfH0dLSUvR6FpmQSQQ9FAphbGwMarU6KyO2UFXcM1nnc3E4iEw/krXfSlcWP9X2dYmYDteQ7/U9EAik5WhPpYDbunUrHnjgAdxxxx1gWRabN29GXV0dHn/8cbjdbuzcuRM7d+4EAPz85z8vWks30UDPEqGKnkUfLxeDn2VZ2Gw2jI+Po6KiAgRB5CWfPZfjCG2gZxI1F5rpMJFOJSQSyXmy+EAgAJ/PB4vFgkAgAJlMxkvi05XFEwSBb37zmzh27BgcDgcuuugiLFmyJN+XA2Dm9kEv1rn9fn/JpHmICIdUKkVLS0uxh5Ex6aytLMvCbrfD7XZnJduPPlchI+iTIUbNS4tSjUCnK4sPh8N8C1Rxbza9SdfRPpkCbt26dVi3bl3M3x9++GE8/PDDwgxUAEQDPUskEgnC4bBgx8vFEA4EAhgeHoZWq0V3dzc8Ho9gvULzYVjnehyWZfmoeU1NTVpR83hKdUGKZyYtNpl4XrkiIWq1mq8WHw6HY2TxAPgIu0ajSerAkclkuP766wvex7rYfdCLVaG0WAY6RVGCtskTKQ2m6hw52ZoYCARgNBqh0+mylu1Hn6sUDPTo6vpi1FwkU5LJ4s1mM5xOJ2w2W96rxYsUl0yLvU5lRAM9S4Su+JqNgc6yLMxmM1wuF1paWviHVsj8+FIrEsct8G63O+uoeSEr9QrBVHEmFBu5XI7KykpUVlYCOPc7c9Xi7XZ7TJV4rVYLpVLJb3pLqf96IYhvGVboc4ubJhEhETqFqhDPZzLnN8MwsFqt8Pv9aGxsFEReWUiJe7LzFDNqzrIszpw5A6PRiOrqanR3d4tzUApYls27wstkMuH06dNQqVRYsGBBVuoQThYvk8lQV1cHqVSa12rxIsUnXYn7dEB8UrMkX1Xc08Xn82F4eBgVFRXo7u6O2egLObZSkrh7vV6YTCaoVCp0dnZmbNx4PB788Y9/xMjICADgvvvu41uAiHxOsRwCQhusEokEZWVlvDyOk8Vzz1EwGIRMJkMoFILX60VFRUXBN40zsUicUN0qMmWqRlpFCkchK7knWluji921t7cL9swWuop7NPmImmc6d/b29uKdd96BRqPBxx9/DJfLhZUrV+Y8jumI1WrFG2+8Ab/fj66uLqxevVrw+dpisWDPnj1Qq9UIBoMYGxvDNddck/V5op+HZLL4QCAgSLV4keQUYu6cSbVkRAM9S4Ssug6kv4AyDAOj0Qifz4f29vaE3nWhI+jFlrgzDIOxsTEEAgHU19cjEolkNaHu27cPRqMRLS0tOH78OHbv3o0vf/nLWY1JCFiWxeDgIIxGI2pqajBr1qzzjCZx4RCOaFk814c+HA6jv78fbrcbFosFBEHEVIvPpyR6pvZBFyPoIqWKkO1OJyO+norFYkE4HM5LsbtiSdy5lnAKhUKwqHk281ZfXx/fIaSiogKnTp2aUgY6lw6V7zmboij85S9/gUKhQH19PXp7e1FVVYX58+cLep6RkRFe8QYARqMRHo8n64BJqmdbyGrxIqkpxL4i024sUxnRQM+SYkjcubzr6upqNDY2Jn0RSjGCnu0Gwev1YmRkBFVVVWhqaoLb7c46999kMvELQkVFBUwmU1bHEYre3l7s378farUaR44cgdPpRE9Pz3mfmykS92IYjXK5HFKpFE1NTZBKpTGyeJvNBoqiksric2Wm9kEvxrnD4bCYfz6NEcoALVSkGYitp2KxWFBVVYWGhoa8zAmFui5OgZDPXPNsWrnpdDqMjo5Co9HA6/XyxUYnw2QyYXR0FBUVFejs7CzKnHn8+HF89NFHIEkSF198MWbPnp2X8xAEgVAohFAohKqqKgDnarhMTEzkdFyapnHixAkMDw+jtrYWF154IXQ6HUKhEFiWRTgcBkmSOadyZFK/Jpdq8flguuzxChF08Pv9fHef6Y5ooGdJPiTuyarC0zSN0dFRhMNhdHZ2TlrMSkhvuVCOiEzvF6cU8Pv96Ojo4K85l2ubP38+3n33XVRVVcFqteILX/hCVscRik8++QTV1dXQaDSgKAonTpxIaKCL5JfozV66snjOYNdoNFkvSDM1ik3TdMHPPZMKy4hkTyENdJqmEQ6HMTExgdbW1rw6kAoZQY9EIrBarZDL5XnJNc/mWlasWIGJiQmMjY1BpVJh48aNk35naGgIu3fvhkKhQDAYxJIlS7AA1J4SAAAgAElEQVR27dq0zme1WvH3v/8dkUgES5cuRUdHR0bj5TAajThw4AAMBgMYhsH+/ftRXV2dk4ESCoXgdDqhVCpRXl4e8zeVSoXq6mqYTCbY7Xb09vZi8eLFaG9vR2NjY1bnO378OA4ePIjKykocPXoUPp8Pl156KYxGIwYGBiCVSnHZZZflZKDn+mwXWxY/XXqgFyLoEAgEsn4WpxqigZ4lheqD7nQ6YTQaUVdXh8rKyrQe/qleJC46ah6vFMglR/DSSy+FTCbD4OAgenp60lqk84lOp4PRaIRGo4Hf74dWqz3vM9Nh0s6EUivWlkwW7/V6MTExgdHR0axl8aLEvXDMpLw1kewplIHucrlgs9kgkUiy6kKSKYUoEsdJhz0eDxobG/P6vmW6B9DpdNi8eTMCgQAUCkVaEdGTJ0+ivLwc5eXlYBgGJ0+exKpVqyb9rs/nw2uvvQaZTAapVIo///nP2LJlC79+ZILP54NUKo05Zy4RRLfbjVdffRUejwfAuVZTc+fO5f9OkiQ2btyIffv24dChQ1i2bBkqKyuxd+9ebN++nf9NaZqG1+vljdVUnD17FtXV1fw6OjAwgMsvvxyXXXYZfz+FiFAL+Q4VWhY/XQz0QkXQZ8paLhroWSK0Rzp+YxCJRPhiZrNnz87Iuz5VJe7Joubxx8l2PFKpFJdccgkuueQSnDp1StCIBVfohCRJNDc3p7XgXHTRRdizZw9f2faKK65I+LnpIn+ajEJfp9lsxtNPP42BgQF87WtfSzs6kqpaPCeLV6vVfIQ9mSxe7INeOGZS3tpMZKoUU4tEIjCZTCBJEm1tbRgcHCzIxjzfxe+4XHOKolBXV5fXDXS2ey/O6EoFTdNwu928vDkYDKK8vByhUAgymSyt2gRutxuRSIRv/+lyueBwOLIy0DmpudPp5KO4uUTPjx8/zncHCIfDeOeddzB79uyY+6lWqzF79mzYbDY0NDTw1+Dz+aDRaODxePDaa6/B4XBAoVDgmmuu4T+XiOrqavT29kKlUsHhcPD3BYAgHQqA/O8d8i2Lny4GeqEi6DNlLRcN9CwR+iHkis5xuVtmsxkGgyGrohlCOg+ELBKX6jhcVfpEUfN8jEcIuHEEg0Hs2rULdrsdLMuivb09rYqk5eXl2Lp1K/x+P1QqlZgjW0ACgQBuvvlmmEwm0DSNu+++G88++yyWL1+e8bESyeL9fn+MLF4ul/MRdrVazRsCMymKHX3uQre6EQ10kXTIl4HOsiycTifGx8dRV1eXdg60UORr3YzONa+vr4ff7y+IGiAfeL1emM1mqNVq+P1+1NbWore3F/39/VAoFNi0aVPMuf1+P5xOJ7RaLT/3A4BWqwVBEPD7/ZBKpWAYJqvfm2VZDAwMYHx8HKdOncKyZctwzTXXJJ3HuKhuqn0H52gAwNdcSaQEra6uRiQSgc/nQygUgkKh4K/xgw8+gNvtRmNjI7xeL/bt24fbb7896TlXrFjB10+qqanB+vXrM7kNaVPotVRIWfx0MtDFCLpwiAZ6DggdQY9EIhgYGIBMJkNXV1fWm1ihc9CFiqAngmEYmEwmeL3epFXp448jpMNAiElxZGQEdrsdLS0tAM7lrlmt1pReZQ6pVBqzuM9kcvk9jEYj/vznP4NlWVx11VVoampK+fn+/n7Y7XbU1NTA7/fD5/Nh//79WRno8XCS92h5HCeLHx8fx8jICH+dDMPkvVp8ImaaxF3MQRdJh3wY6Fx0WS6Xo729PcaAEnIdSkU+JO6RSARjY2Mx1xUIBAriQBfyHAzDwGw28xX0ud+jvr4ebW1tvOMdOLfWq1Qq+Hw+7N27F6FQCARBYNOmTZg1axaAc3L6q6++Gm+//TYCgQAuueSSrHJmBwcH8dZbb6GtrQ0GgwFOpzOhqpCmabzxxhs4efIkZDIZrrrqKn4s8SxYsACfffYZxsbGQFEUli5dyufYR2MwGHDVVVfh6NGj0Ol0WLVqFb8383g8/FyqVqthNptTzulKpRKbNm2a9t070pHFy2QyPsoeLYsvpppOSApxHWIEXaSgcN51j8eDjo4OQQw2oRb8fEasuah5ZWUlurq60hpzoSPogUCAlzclGkv0/wLgK9hOhfs/XXA4HHjooYf46M2BAwfwox/9CNXV1Um/U1VVBYZhEA6H+d/MYDDkZXwEQUChUEChUPCSRYqiMDw8jFAohLNnz8bI4rVaLRQKRV437cWOoIs56CJCUooSd5Zl4XA4MDExkbSSOWc457utm5AS92g1QH19fUztlHyuVzRNY//+/XjnnXdgMBhwww03pHSCcxHsVDnSLpcLu3btwsjICBoaGnDdddfxEvJ4Rytwbt4OBALYt28fJiYmUFlZCZqm8dprr+Hee+/lP9fS0oJbbrklp+vlDHIuUsvJzONr1Xz66ac4ceIEWlpaEAqFsHfvXtx5550Jn7f6+nps3bqVVwq0trYmPf+sWbMSGvrz5s3Dvn37EAwG4ff7ccEFF6Q1n08HAzQTUsniPR5PjCxeKpVOi31eIVSBM2ktFw30HBDC+x0MBjE8PAyFQgG1Wl1y0dR8RBQyjZpHU6gIOsuyePfdd3H48GEQBIHVq1cnrbDe0tICg8GAkZERsCyLOXPmZJVvNtPJ9l06ffo0vF4vr2AYHh5GX19fSgPdYDDg4YcfxuOPP45AIIBLL70UW7ZsyXrsmcJtHMvLy6HT6WJk8WNjYwiFQgll8UIx0wx0Ln9SRCQVqbqpZEIwGITRaIRarU5ZyTzfueEcQq2biaLm+ThPIk6cOIF//OMfqKurA8MwePnll3H33XefpzSkaRr79u3Dxx9/DIlEgiuvvBKLFi2K+QzLsrBarThw4ACMRiNmzZoFt9uNV155BbfddltS9aJUKoVOp4NKpUJtbS3Kysrg9/vhdrthNBoRDodhNpt5WbNMJst6f1hbWwuKouDxeBCJRKBUKhPuDz0eD+/QVSqVYBgGwWAw6XxXVVXFO4qjSWecwWAQarUaa9asQSAQQGVlZUyROZHUxMviaZpGMBiEx+NBMBjE0NAQFAoFH2UXulp8vilUBH2mrOWigZ4D3OKazQvEsiwsFgsmJibQ0tICpVKJ/v7+PIwyN4TeQPj9fgwNDWUUNY8mXznxfr8ffX19AICuri6Mj4/jo48+4iVv7733Htra2hIa3nK5HNdffz0sFgtIkkR9ff2M8xYXE51OF5NLxzBMWo6ubdu2YdOmTTh+/Dguuuiigi+E0d7m6GhNXV1dQlk8J6HjjPZc87hnksRdzEEXSYdcHdIsy8Jms8Hj8cBgMEClUuX1fOkixHUli5pHk08D3WKxQKfTgSRJaLVaWK1W+P3+8+b6vr4+HD16FG1tbQiHw9i7dy9aW1v5lmKc80Sn00EqlUKv14MkSVRUVGBkZAThcHjSufXCCy/EK6+8Ao/HA4qisH79erS0tGBwcBDl5eUIBAKw2WyIRCJ8HrJarc7I4GpsbMQ111yDw4cPQ6/XY+3atQmfp+bmZrz//vu8jFqv1+cl0ON2u/HCCy/AaDTi9OnTaGpqwubNm9Oay2mahslkAgA0NDTkXTHCYbPZ8P777yMSiWDFihW8E79UkEgkfKtWkiRRU1OTtiy+FClEBD0YDE46r04XRAM9B7ge4Zm+MH6/H8PDwygrK0N3dzdvBAu9UAshtRYqd42TE4+MjGQcNY8fj9AGejAYxIsvvgiHwwGCIHD48GH09PRAIpHwvy1JkuflaQGf32OZTDZp3nOu45zuZPu8zp07F9dddx327NkDlmVx9dVXY8GCBWl9V6vVpt2+UGgma++WSBbPVYu3WCxgGAYqlSorWXwxn6liGeh1dXUFPadI4SgFiXsgEIDRaERZWRk6OjrSTtkqhIGeyzoSiURgNBohk8kSRs3jzxN/PX6/H8eOHUMwGMT8+fOzfg/b2tpw5MgRSCQS+Hw+VFdXJ4ykeb1e3hDm5sRAIICysjKMj4/D5XLxzpOOjg4+d9vj8aChoSGtzX97ezt27NgBq9UKnU7HS8W5KDZ3DM7Ryhlc4XAYEokEarUaKpUKCoUi5VzY1dWFrq6ulGNpbGzE5s2b8cknn0Cj0WD58uUZ1zRJ59k4fvw431pULpdjaGgI+/btQ1lZGebNm5f0exRF4eWXX8bAwAB/Tddff33ejXSfz4cXXngBLMtCIpHg97//PW6//faYKvKlArcXyEQWn021+HzD3et8n6OUnRRCUjq/7BQk08U8Wtrd2toasxAIbSAIVXxGCA8/FzUnCCKrqHk0+TDQTSYTHA5HjESaYRgoFAqYzWawLAuNRpN0YudyDVmWLUj+sEgsBEHg1ltvxRe/+EWwLJtV5wOn04mTJ0+iubm5YF72TN9PqVTK9+UFPq8aGy2LVygUfJRdaFm8UIhF4kRKlWzWO4Zh+GhuU1NTwkJeqc5XKIl7pteVbtQ8/jzR10NRFB91lUql+PDDD3HnnXdmZSR1d3fj6quvxnvvvQeDwYANGzYkNAY41ZvNZkM4HEZVVRW0Wi0GBwehUqnQ3t7Ozz8LFixAJBLBqVOn0NLSgjVr1qQ9J9fV1Z3nbIj/brSjlVuXOIPL7XYjGAyCJMmYftrZGDhtbW1oa2vL+HuZQFEUKIpCKBRCRUUFL7s3mUwpDfShoSH09/fzToy+vj4MDw+jvb09r+O12+0IBoN84IRzbJeigZ4q8pxMFh9dLb5UZPH57tAyU4JVHKKBngNca7R08Hq9GBkZyVranSncRiPXjXAuBjFXHdXtdqNNoJ6vQm1ooq9LJpPxhcK4cVdWVmLbtm34+OOPQZIkFi9efJ5nnSAIXhUgl8uhUChiDCWtVsvnq001g73UIsrpwBmumTIwMIBLLrkEFEUhEongqaeewm233Zb1ONIl1+uNrhrLyeJDoRB8Pl+MLJ7rxy6ELF4IxCJxIqVKpga6z+eDyWSCXq9He3t7xu9zoSTumY6Li5pLpdJJo+bx54m+HpvNBrPZjJaWFjAMg97eXhw4cACbNm1KO8rLsiw++OADfPTRR9DpdLjkkkvQ2dmZ9H2ur6/Hjh07cOLECSiVSsyePRtmszlhoT6CILB06VIsXbqUP1ckEklrXKnGm+p+JzK4AoEA/H4/HA4Hr4wqtQjpwoULcejQIb7rSUdHBxiGmbRbTfzzXSjViFar5ddErt1dqa4BmewFOFl8NtXi802h1vaptp/OltJ486conMQ9FTRNY2xsDMFgEB0dHRl513NBqEhzthsITsZfUVGB7u5u/oXK1SgRanKPvj+NjY1YvHgxTpw4AQBYtGgRmpqaQJIkLr300qTHoCgK/f39aG5u5hfbaEOJ89gGAgHIZDJeiszlHGU6ThHhCQaDuPfee2G320GSJAiCwD333IMdO3bkfWMk9GIWLY+LlsV7vV74fD5eFq9Wq3kvfDHUHmIOukipku56R9M0LBYL35orVaXwVBTKWEmXbKLm0cSvV1zRsnA4jI8//hgff/wxL9W95ZZb0toPffrpp9i7dy/q6+tht9uxa9cu3HfffSmNraamJtTX12NsbAwSiSQjJ0OhkUgk/N4AAF/kLT5CKkThuVyorq7GnXfeiVWrVuHDDz+EXC7H8uXLJy0S19zcjLq6OgwNDQE4l4Pe3Nyc01gYhuFVUcl+16qqKmzatAl/+ctfQFEULr300ryrDLIll31xurJ4zljPp9Mn3/LzQuS4lxKigZ4Dky3mLpcLY2NjqK2tRXNzc0EfrHz3L08Gy7IwmUxwu93nyfhzKaonNNEbCYIgsGHDBixbtgwsy06ak0xRFEZGRkDTNObMmXPeJiN6wuQqiXMFv7gcLi6yyf1TqpuHQlPoZ+PBBx/E2NgYWJYFTdOQSCSgaZr3uueTQrwLUqkUFRUVvLySYRj4/X44nc7z1B5arRYqlSrvxrMocRcRmkLmoHs8HlgsFlRVVaGhoSFnFUypOGCzjZpHE2+g6/V6bNy4Ea+88gpOnjyJ7u5uXHDBBRgaGkJfX9951dUTMTY2FhNRttlscLvdCSuRc7hcLthsNtTV1UGn02V0DbkaS7lCkiTUajU/X0VHSO12O8LhMF94jstjL9S6qdfrsWbNGqxZsybt7yiVSuzYsQNnz54FcC5/P1uHFnDut/3d734Hm80GrVaL7du3J/3sggULMG/evILkRueC0HuBYsni821Az6QCcYBooOcEt5mPhzPgGIbBrFmzMpqMhHpRCyWdiyYQCGBoaAjl5eUxUXMOLlqQy+ZcyP7i8f9eWVk56ffcbjdGR0dRX1+PSCSS9qQvl8tRWVnJn4OLbHo8HphMJj7PnZPFZ1rkRUiKtWEs9HlZlsVf/vIX1NfXY3R0FAzD8EXmCiGFK4azipPFy+VydHZ2xqg9bDYbAoFAjPNIo9HkxVFR6OsW26yJpEOqdZOiKH6ubm1tFWSOLsY6HU+uUfNoEjkcVq5ciYqKCrAsG5PeR9M0jhw5gv7+fjQ0NGDVqlUJ55r6+nr4/X6EQiH4/X6+MGYiuGrhLMuira2tZOThuRDt8Nfr9bwMPxAIwOl0IhQKQSKRxOSxZ7PHyuecrFQqBWvH9re//Q0OhwNNTU2YmJjArl27cM011yT9fCnWYYkn33uBdGXx3POT7TOU7wj6THO0T/3Zq4jEL67cQmcymdDQ0ICKioqMXjqhCrslGls+YVkWZrMZLpfrvKh5NKUm185kLAzD8KkKnNOFkw5lQ6LIps/n4yVJFEXxXnSapktGeTCdIAgCNTU1YBgGc+bMgdFoRFdXF1588cWCnL9Yv2m0kyyR2iPaeWQ2m3lZPGe0T7XerICYgy6SHonWKJZl4Xa7YbPZUFNTk3Wti2TnK6aBLkTUPJpka/ysWbOwYMECnD59GsA5+fHExARef/11lJWV4dChQ7Db7bj++uvP++78+fNx5ZVX4sMPP4RWq8XGjRsTSuO9Xi/MZjOqq6uzKhQqFPne4xAEAblcDrlczj+LFEXxBUOjJc3cP6UcPc6U8fFxXhVRVlYGi8WS8vM0TePtt9/GqVOnYDAYcOWVV5bcWlDoCH++ZPH5jqAHAgHRQBdJj2gjmCsWJpFI0NXVlZXnVqjCbvFjyyeTRc2LMaZ0yMRZ4PP5MDw8jKqqKjQ1NcX0rhZqMSZJEjqdjl94WJaF3++H2+1GKBRCb28vlEpljBR5qhlJk1EMg/XHP/4xbr31VrAsiyVLluDZZ5/NSX6XCcVqFzLZfU4mi+cKXYbD4RhZvFqtLvlnkYu8iUxP8vX8cQZsvvKYi7UmsiwLl8sFu92elQw8GcnWRKlUim3btuHDDz8Ey7K48MIL8eyzz6KmpgY6nQ56vR6HDx/GF7/4xYTqtrVr12Lt2rUAzhWeiz4HV4w2HA4LpmzIlmLNg1KpNGb/EC1pnpiYAMMwMa254u/RVAoALF68GLt370YoFILb7UZPT0/Kz7/33nv429/+htraWhw9ehQej6cgRWAzoRTuvxCy+HzvaWZaLRnRQM8BiUSCUCgEu90Oq9WKxsbGnLzrmVSFn4x8L/zRUfOWlpa0XppSiqCzLItDhw7h7NmzqKiowCWXXHKe153Lp/d4PAl7t+fzegiCgEajgUKhgMfjwezZsxEMBhMWntPpdCXbUiufUBSFN954AxMTE+jp6UFnZ2fGx7jgggvw/PPPo7a2FjU1NQXd3BWr4EmmTsBoyTvwuTyOk8X7/X5IpVI+RaMUayrku/2LSPERcj5mWRYTExNwOByCGrDxkCQJiqLycux4uPtDUZSgUfNE54iHoij8/ve/x6lTp3jnQFVVFXp7e6HT6eB2uzNSHHLn8Pv9MBqNqKyszLkeADd+IZWMxSJe0swwDC9ptlqtiEQiMYXnSmVflg4rVqyAUqnEwMAAGhoasGzZMpjN5qSf7+vrQ3V1NTQaDdRqNU6fPl2UOiipKMXnLRtZfL7vqyhxF0kbmqZht9v56HGuC52QRnU+jUcual5WVjZp1LxQY8qUM2fO4NChQ2hra4PNZsPu3buxfft2fnIJBoMYHBxEeXl5QdriJSN6s8Atplwfz3A4DI/Hc15LrVI1ktIhkw3agw8+iP3794NlWahUKvziF79I2Y812XGUSiUMBkM2w82ZqWCgx5NIFh+JRPgUDU4Wzy3u0bL4Unn/RUSSwTAMBgcHoVQq8179u9AS93w7HZK94729vThx4gTa29vBsizeffddfOUrX4HVasXw8DC0Wi1uuummtM/BMAwsFgt8Ph+am5sL1h0nHUpxjovutQ6cG2M4HOaNLb/fz9dU4gyuUjMYOQiCwJIlS7BkyRIAkzu6m5qacPDgQajVatjtdhgMhpIyzoHSNNDjmUwWb7PZEA6HYbPZ8tYiMBAIlFx6Qj4RDfQsYFkWVqsVNpsNGo0GLS0tghw3nbZtmRxLyIWfW3QsFgucTmfaUfN8jikXbDYbdDodFAoFFAoFRkdH+fwWm82G8fFxtLS0pJwMim1wyOVyVFVVnddSK7rwXLTBXkzpXzpkci8tFgvefvtt1NfXgyRJWCwW/PGPf8T/+3//L+X3AoEATCYT6uvroVarp8TCKDT5uGaZTDapLF6pVPL3fCbed5HShmVZjI+PIxKJoLGxsSAbwUJVcacoCuFwGD6fL69Oh0RrosvlwtGjR2G329HS0gKpVMpv9v/1X/8VXq8XarU67c08RVFwuVyorKzMqvd8PimlsaSCIAh+71NRUQGHwwHgnFTe7XbDarXGGPWF6O6RLZO9P+vXr4fb7UZvby8MBgNuvPHGAo0sfabqehgvix8cHIRGo8lbtXgxB10kJYFAgPf4tra28hObEAhpwAp9rEAggJGREeh0OnR1dWVdJbRUvMs1NTUYHBxEVVUVPB4PysvLIZFI0N/fD6VSie7u7kmvsZSuBzg/d5imafh8Pl6KzBWe0+l0U7bYFwfnbOCiwVwUPRUnT57EzTffDK/XC6VSid/+9rdYuHDhlL0H2VIIeV8iWXwwGITL5QJFUejt7YVUKo2pFp8vo6GU3lGR/JHLfBwMBmE0GqHRaPgIYiEoRCoal2sul8tRX1+fd0VA9G/gcrnw5JNPwmKx4PTp0zAajVi0aBEaGxvR1NQEkiT5zf1kcA4Ul8uFiooKXkkmkjsEQUAikaCsrIz/PSiKQjAYhN/vx/j4OADE5LGXUspQqjVcqVSmrc4oFtOlvzeXmpmvavFiDrpIQrhCJG63m48eBwIBQRfXUjTQuZYeg4ODaGtry+nlKCWDlpOtDw8Po7q6GosXL8aZM2fQ1NSU9oahEOQyaccvuFzhOY/HExPVLJXCc5mcu6qqCrfddhueffZZkCSJqqoq7NixI+V37r//frhcLpSVlcHr9eK+++7Dm2++OS0WxkwoRnE6LkWDJEn4fD50dnYiEonA6/XC5XLBaDTGtBrkHEhCEIlEClb4T2RqwTAM7HY7PB4PDAYDVCoVhoaGwDBMQVKE8ilx53LNSZJEe3s7xsbGBD8X15O8rq4OWq32vOv59NNP4XQ60d3djaamJhw7dgyrVq3C1VdfnZEsPRwOY2xsDGq1GjU1NSWzj0hEKY8tE6IdqMC5d4Uz2KOjo9GF54qxlia73y6XC7t27cLo6CgWLFiAa665Ju114MiRI9i/fz/UajWuu+46NDU1CTnk85iqEfTJiJfFczUwomXx3N4gnWrxPp+PV4zOBEQDPQ24Kt56vT4m51po77fQBnquxWeCwSCGhoYAAJ2dnTnneQl5fblOaBKJBEuXLsXFF1+M4eFhAMi4+n6hHA5CnSORd5MrPGc2mxEMBiGXy6FQKEBRVMkVUonnnnvuwfr16+F0OjF37txJCzRarVZ+oVAqlbBardNmM5UJxfTWRz9TMpkMer0eer2e/xun+OCkxkI4kGZaYRmR9PD7/TCZTCgrK0NHR0fe1vVU5EPiHt0WLjrXXOhzHTp0CM899xwAQKPR4L777jvPeJZIJPy/q1QqNDY2YsWKFWmnD0QX6zMYDFCr1XxVcpHCQpIk3/oV+Hz/EAwGYbPZeEcoZ7ArFIqCrDPJ9oLPPfcchoaGUFVVhXfeeQcSiQQLFy6ETCZDc3Nz0rH19/fjN7/5DSorK+F0OrFz5048+OCDeSsUmeoaphLpzC0EQeRULT4YDM6otVw00FNA0zSMRiMCgUDCKt5cUQ2hKJUIOpdj73A40NLSkrJCZiYIZdAKVWWVqwDb0NAAvV4Ps9mMgwcPgmEY9PT0TFpboJQUAdkQX3iOKxwzMTEBp9OJvr4+SCSSgsiQgewcEXPmzEn7s1/60pfw05/+FMFgEAzDYPv27dNiYcyUYjpeUp07UavB+M4F2cjiRQN9ZpDue8wVGAsGg2hqajrP8VxoA13Ic8VHzaPfDyHXK4Zh8Lvf/Q41NTVQKpUwmUzYu3cvvvKVr8ScY8GCBejo6MDg4CBYlsXKlSvR3Nyc1jm4FncymQwdHR38vFHK6+5UXUuyuZ/R+we9Xs+rLf1+PyYmJhAOhyGRSPjPZCpnznQs0TAMgzNnzvCGeHl5OX7zm9+gubkZLMti9erV2Lp1a8Lfa3R0lFcfcv9ut9tFA30Ssr2GVNXix8fHEQ6H0d/fj76+Png8nkkLATMMg0cffRR9fX2Qy+V4/PHH0drayv/9zTffxNNPPw2pVIrNmzdjy5Ytk36nWIgGehLcbjdGR0dRU1MT0/s6mlKOoGe7iHFRc61Wy+dhCzUuoQ30bKFpGi6XCx6PB5WVlZDJZPB4PHjllVegUChAkiReffVVbN++vehymkJO2lzhmIqKCvj9fnR0dJwnQwYQI0Mu9cJz0TzwwAOoq6vDP/7xDyxevBhf/epXQdP0lF8YM6WYm4FMnAOJOhdkI4v3+/0zqvKrSHI4tZBer0d9fX1B1vVUCClxd7lc50XN83UuhmFAURQ//8vl8hglFodSqcQ999yD4eHhSSOX6V5Lqc/Xpeo8yKwZe2YAACAASURBVDcEQUAul0Mul/N1cOKrfJMkGZPHLoTDP9H9JkkSra2tGBsbQ3V1NU6fPo1IJIKWlhYwDIP3338fa9asSShdr62tRSQSQTgcRigUAkmSvMorX0wXA10IB0y0LJ5z/JSVlcHj8eD111/HkSNH8Ktf/QoXXHABli1bhnXr1sXcuzfeeAPhcBgvvfQSjh07hv/8z//ET37yEwDnnsfvfe972LVrF1QqFW666SZcdtllOHr0aNLvFBPRQI+DoiiMjY0hEolg1qxZKXNWhM4fE7InaqabjPioefSGVijDuhQMfa/Xi+HhYZhMJrz++utQKpWQy+W44oorQNM0PxF7PB44HI6UBvpUk7hnQ7wMOb7wHE3TUKvVMQZSqS40JEnijjvuwB133MH/N4qiSna8+aJUI+jpkKksXqlUzrjCMiLnQ9M0zGYzv0lPta5PNYl7qqi50OfikEqluPzyy7Fv3z5IpVJe5fLpp58iHA7j29/+Nh+Bkslk6OzsTOu4nGoRQNJrKeUIukgsieTMgUAAgUCAT1WINthlMhmCwSD++te/wmq1YuHChejp6Zl0jU7091tvvRUvvfQSxsbGMHfuXF4JSpIkCIJIuteeN28evvjFL+Kvf/0r1Go17rjjDt7hkC+mg4Ger9Q5giBQWVmJ66+/HseOHcO3vvUttLW14dixYzh16hTWrl0bM58fPnwYa9euBQAsWbIEn3zyCf+3gYEBtLS08OmQF154IQ4dOoRjx44l/U4xEQ30KJxOJ4xGI+rr66HX67OaFHKhWBJ3Lmqu0WgSVi8vBcM61+MwDAOTyQSv14vOzk689NJL0Ol0qK+vx/j4OA4ePMhXq+eudzJJ00zcKMQXnkvWTourFJ9JP9ViFZgppcI2hWAqG+jxpJLF9/X14Vvf+hY0Gg2USiX+/ve/Y9GiRZNG07ORyImULlzbqOrqapSXl0/6vk+lCDoXaa6trZ20uKnQAYVrr70WHR0dcDqd2LNnD8LhMKqrq3HmzBn89re/xUMPPZTR8TweDywWC2pqalLWEynldXeqG1n5JjplDvi88FwgEIDb7QZN0/j973+Pzz77DBUVFfjoo49A0zQuuuiipMdMtobr9XrcfffdAICJiQn86Ec/4gtAckULk7F+/XqsX78+x6tNn+lgoBei+GwgEOCfnzVr1mDNmjXnfcbr9fLPF3DumaMoinckRu/rNRoNvF5vyu8UE9FAxznZw8jICAiCwOzZszOS7Qr5UhXaQGdZNq2e30J53otloAcCAQwNDaGiooKv3h4KhfhNgEwmg1QqxZVXXom3334bNE3j8ssvR319fc5jne4kaqcVCATg9XphMpn4wnNarRY6nQ5qtTrpO1OMTVcxDfRiLcjFqOLOkW/nQLwsft++fdi1axcOHDiA/fv348c//jFYlsWjjz6K+fPnJzxGNhI5seVT8Yl/nyiKgslkAsuyaGtrS3uzVWgDPRvSjZrHn0vIOZYgCCxcuBAAsHfvXn7/oFKp4HQ60z4O1yEnEomgtbU1rf1XqRroU5lirEfxheeCwSCfO85V+37zzTcxd+5cXvYcP850ngW9Xo/7778ffX19kEqlWLhwYdGNr2img4FeiOKz6fRB12q18Pl8MePifuv4v/l8Pj6YlOw7xaT4IygyDMNgYGAA9fX1eZexTIZEIimYgR4KhTA0NAS1Wj1pz2+hPO9CSfjT3WiYzWYcPnwYkUgEl112WYxX/uKLL8brr78Or9cLhmFw8803Y9asWZg1a5bg48iFYk3a2Z6XIAh+wa2treULz3GSeL/fX7D+15mMORNYlsVjjz2GZ555BuXl5fjFL36R0sOf7BjFzAMv1uJTjOi9VCrFkiVLcNtttwE4l5OeSuKcjUTuqquuyt8FiGREdO/vdCLL8RTSQM+GTKLm0eTiaD9x4gT+7//+DyRJ4sYbb0RXV1fM3y+99FL84Q9/gFqthsViwVe+8pW0jssVaq2srERDQ0Nac2K+191cjy86D7KHq4ETiURQVlaGiYkJtLe3gyRJuFwuWK1WSCQSKJVKqNVqvnBzOs+NXq/HypUr830JWTEdDPRCOP7TqSezdOlSvPXWW7j66qtx7NixmLmqs7MTQ0NDcDqdUKvVOHToEO644w4QBJH0O8VkxhvoJEnGtE7LBqFerkJE0KOj5s3NzTGyjnyPq5AR9JGREfz85z/no2nvvvsuvvCFL/ATSE9PD6qrqwEA9fX1k1Zsz3YcMx2u8JxCoeDz+RMVntNqtaBpuuCyomx+v+eeew4//OEPEQgEYDabcfXVV6O/v59/ntI973SNYk927kI7B+IX9ck88NlI5ESKD0EQfOVvqVSadmQ5HiFrwQgJFzUnCCIjRQBHto724eFh/Pd//zd0Oh0YhsEPf/hDfPe7341RjVxxxRWorKzE4OAgJBLJpA4rhmF4h+1kNQESXUepUspjmwoQBIG77roLP/3pTzEyMoKOjg5ce+210Ol0vFOUi6x7vV7Y7Xb+mfZ6vYIVnisGU/3ZKUQEPRgMntdNK54NGzbg/fffx7Zt28CyLJ544gns3r0bfr8fW7duxQMPPIA77rgDLMti8+bNqKurS/idUmDGG+hAbi8GZ7wKMSmQJClY27ZExmMmUfPJjpUNQknlUx2HZVk4HA688847qK6u5g3voaEhXs4CnLum1tZW1NXV5TwekcxIVHiOK/I1MDAAhmH4wnM6nS6jzVumZONce+edd+D3+/liMwRB4LPPPsvIQC9mL/JiR+8L7Rzw+/1oaGhI+/PZSOSy4ZZbboHL5QIAnDlzBv/1X/8lRuJzwO/3Y2hoCPX19Wk5npNRihH0bKPm0WR7XSMjI2AYhlcYjo6OYmxsLMZAJwgCPT096OnpQX9/f8r5JRgMYmxsDOXl5Whra8t4LhId48JTSvezs7MT3/ve9/h84/jnQyqVxtQd8fl8cDqdCAaDCQvPSaXSKW/8TgUKtbZPdg6SJPHYY4/F/LfoIpXr1q3DunXrJv1OKSAa6DkitIGejwg6y7Kw2+2w2+1pR83zMS6hpPLJjhOJRDA8PAyJRIK5c+fi4MGDAIBwOAySJGNy24RY5KfrRqHQ1ySRSFBeXg6ZTIbu7m6+8JzH48HQ0BAikQhUKlVMZW6hFlzuWt1uN3Q6XVrHXb58Of7whz/w7YQoikJHR0fG551JRnIxz51pH/RsJHLZ8NxzzwEAXnjhBXz44YfYuHFjVscROYdSqYzpl50txTDQk80HXB49gKyi5tFku15xqUqhUAjBYBAmkwmfffYZOjo6MnIWcPsQt9uNxsbGSSNhySj1dbeUxzZV4IzwdODau3EOcq5QaCAQgNVqRSQSgUKh4A32ZJ1muHSLsrIy1NbWCno9kxGJRHDmzBmo1eopW/so36rAmfheiQZ6jkgkEtA0LUg/6Hz0Qeei5iqVKqOoefy4Sr1IHFeB32AwoKKiAgaDAcPDwxgbGwNBEFi/fn3WG4JMxiGSO+kUnlMoFPxnUhWem4wzZ85gx44dsNvtqK+vx0svvTRp/tFdd92Fjz/+GM8//zy0Wi1+/etfZ7yoigZ64ci0D3o2ErlsefXVV/Huu+/iqaeemrLSzFKBJElBnq1CG+jc+ho/H3DV53OJmkeTrYN89uzZ+PKXv4wXX3wRR48eRWVlJf70pz/hgw8+wGOPPZbQ4R9/PaFQCGNjY9BoNHxOcS6U6rorRmoLT/yzEF0olPt7OBxGIBCAw+FAKBSCTCbjP6NQKOBwOPDEE09gYmICwLkWbZdeemlBxu/1evG///u/8Hg8YBgGmzdvxrXXXluQcwtJIVSBnGJxpiAa6DlSrNZo6UBRFAYGBtDc3Jy1DBM491IIIb3Ph6FP0zRGR0dBUVRMBX65XI7rrrsOHo8Hcrmcn6wTHSMemqYxNDSEYDCIxsbGlC1fRPJPosJzoVAoYeE5nU4HjUaT9gbw/vvvh8ViQXl5OcxmM+666y689dZbCT/rcDhgt9vR1NSEnTt3YufOnVlfUzFz0GeacyDTPujZSOSyYd++fdi9ezd27twpiIN3piPUM11oA50znLn3QsioeTS5rL+XX345Kioq8OSTT6KtrQ3AubSxU6dOoaenJ+az0b8Dy7KYmJiAw+GAwWDI6D1MhugYF4kn1bsfXQeHS9OIRCJ8a7dgMIiXX34ZFosFzc3NoGkazz//PFauXCl4UCcRb7/9NsbGxjBv3jxQFIVXXnkFq1ev5mv2TBVYls2rk7nU0o4KgWig50g+ot65Eg6H+X6P8+bNy/mlKUWJO8uy8Hq9GB4eRl1dHSorK8+bpEmSTGpcJ7vXLMvirbfewqeffgqJRAKZTIYbbrgBlZWVaR9DJDsy6ZfOtVzhZG1c4bmJiQmMjo6CIAg+wq7VapNucoeHh6FQKACcaw80PDyc8HMHDhzAQw89BJZlUV5ejqeffjqrwoIcxcxBL3YEvdCR4kwN9ELw1ltv4YUXXsDPfvYz/vkTKQ2KEUHnzid01DyabNdflmUxMDCA/v5+RCIRfs1jWTahY4lbF7midjKZTJDUg+jjlzLinqCwZHO/ZTIZZDIZ/47JZDIolUpEIhGEw2G43W6YTCZUV1fzeez5ggswAOcUuVwAYqqR7wKwgUDgvEDbdEc00HOEk7gLQa4LD8uyGB8fh9VqRXNzM0ZHRwXZDBerf3kqbDYbaJpGZ2dnVhvcZGPxer04ffo0WlpaQBAEzGYz+vv7z4sSpDqGSHbkci/jC89RFAWfzwev1wuLxQKGYaDRaHiDnSs8d9lll+HVV18Fy7KgaTqhtIzrm63RaPg2Qk899RR+8IMfZD3emRbFLua5fT5fRhL3QvDAAw+gvLwcN910EwBgx44duPHGG4s8KhGgOAY6RVGwWCwAhI2ax59nsjl2aGgIZ86cQW1tLebNmweCILBr1y689NJLGBkZwcjICPr6+tDd3Y2enh6+D3o0BEHA6XTC4XDkXLAvEeK6mx9K3fGRDCHW0g0bNuDIkSOw2+2gKAobNmxAbW0tgsEgXC4XaJqOyWOXyWQYHx/Hu+++C4IgcPHFF2cd8V6xYgVeffVVDA8Pg6ZpLFq0aEoWL863KjDTVLXpgGig50ipVHzlouYKhQLd3d2CRqmEukYhJO5+vx8OhwNlZWXo6OjIqV83J3GKLg7G3TeapiGVSgWrLyBSWKRSKcrLy3kFBcMwvME+Pj7OF577xje+AZVKhd7eXixfvhwPPfTQeceiaRo+n4/3tiuVSj5XLVuKaaDPNOdAKRroH374YbGHMO2YqhJ3iqIwOjqKurq6vKZTTWbYHj9+HE888QQYhgHDMNixYwc2btyIl19+GQ6HA/39/WAYBlarFRdeeCG+8Y1vnLfPoCiKTz/Kts1drteRCzRN844SlUoFtVqd0TVMVSN3qpPrfZ8zZw4eeeQRfPrpp6isrMTy5cshkUj4dYOLagcCAb7g8o9+9CN4vV5IJBK88cYbeOKJJ7J6f5ubm3HffffBbrdDq9Vi5cqVU7IeSb5VgaWohMs3ooGeI8U20OOj5tG55izLCrIZFzJ3PNt7xbIsLBYLnE4nKioq0q64nYy+vj788Y9/hFqtxqxZs7BlyxbI5XKo1WpcdNFFOHjwIAiCQFVVFebOnZv0ekRP/tSAJMmY1ixc4TmLxYKvfvWrfJ6a2+3m27xxz5dUKsWmTZvw2muvQSaTgaZp3HDDDTmNZ6b2Qadpuig56DNNGjdTmUrdObhc80gkgoaGhpzqxKTDZOvvK6+8ArVajcrKSkQiEfzhD3/AunXrwLIs+vr6IJFIIJVKIZFIcOzYMdA0HWNIeDweWCwWSKVS1NfX59XIyMfv4/V6YTabodfrQZIkAoEAnE5nTNsutVo9qbphKu4JpuKYOYQae0dHR9JuLNFpdXq9nq9R1NzczDvYDhw4gJUrV0KlUkGpVKa9zrEsC4PBgBUrVghyHcUi3/uKQCAgGugimSGkxD1TwuEwhoeHIZfLE0bNk1WHzRShc8czJRQKYXBwEFqtFl1dXbBarTlNyoFAAK+99hrKysrQ2NiI06dP4/Dhw1i1ahUAYPHixWhra0M4HEZFRUXSCLpooAtLIaMPXOG5srIy7N27F7/97W9RVlaGhx9+GM3NzQgEApDJZLwk/t///d8xf/58DA4OYvny5Vi9enVO55+pOejFiN7nu3iNiEimcLnmNTU1kMlkBXknJnO0RwcbuDmirKwMGzduxJtvvgmKoiCXy6FUKvkcXuDzqHMkEkFbWxuMRmNe10Wh111OFRAMBtHa2sqnHHDRU4Zh+LZdZrOZlzur1erz+myLEfTiUOj7rlKpQBAEZDIZpFIplEolDAYD5HI5vF4v7HY7b9Rzsvhka1AxFW1Cku+gg8/nm3GOdtFAzxFuMheSyV5YlmXhcDhgsVjQ1NSUtJgMt+CWSl/YTI8TrQ5oaWnhc9lyjeiHQiEwDMPnriuVSrhcrpjPiJXbZwZvvPEGHnnkEdA0DYZhsG3bNpw8eRLt7e0Ih8N84Tmfz4e5c+di2bJl0Ol0oCgqpzzRYkvci8l02IyIiGQDTdMwmUxgGIbPNQ8GgwVR4U1m2N5000147LHHMDo6CoZhcPfddyMUCsHhcECv18Nut/PVsO+9914QBAGfzweTyYSqqio0NDSAIAjBFHeprkMogsEgxsbGUF5ejtbWVhAEcd5+jiRJvosIkLrPNk3TRZ9fZxrFuN+LFi3C6tWr8fe//x0AsHbtWixevJhX6gHn3vVAIIBgMIiJiYkYJQaXx86NfzqsiYWQuJdaqlq+EQ30HJFIJIIurpwRm8zbxkXNZTLZpLnmQlZfL3SRuEgkgqGhoYTXmWtEv6ysDC0tLejt7QVN0wgGg0ll7KkQI+jCwaVjFJq3334boVCI98zSNI1Tp05h9erVkMvlqKys5Cv4UxQFr9cLj8cDs9kcU3hOp9NlVKug2IvydNgQiIjEU8pzcnTUPNoBnG+DlmOydbOrqwtPPvkkRkZGUF1djdbWVrz44ot47733sG7dOvT19cHn8+G73/0u1q1bB7PZjEAggJaWFr7oJneeUo+gc0EOp9OJxsbGjNppJeqzzeUnBwIB+P3+GEm8XC4X59s8Uoy1lCRJ/Mu//AtuuOEGEATBO6eikUgk0Gq10Gg0OHDgAHp7e9HU1IS5c+dicHAQOp0OjY2NkMvlaaWjsiyLDz74AP39/ejo6MBFF11UUs9VviPogUBANNBFMoMkSUEl7skM9HSj5tEItVAW2tCfmJiAyWRK2oOcKxQnl8uzinSTJIkbb7wRf/vb36DVajF//ny0trZmfJxS3gxORYqx2MyaNYtfILlnvLm5OeFnpVIpKioq+F6q0YXn7HY7hoeHcerUKTQ3N+PKK6+EUqlMek3FzEEvpUU934jvp0g2cHO7EO9Koqh5NIWqYxPvCGAYBidPnoTf78e8efOg0+lQW1uL2tpa/jNnzpyBVquFTCbDggULMDo6igULFmBwcBDl5eVoa2s77x6VuoEeiUQwNjYGhUKB9vb2nOfh6PxkiqL46GggEIDD4UAoFIJMJuMNdoVCMaPm4EJQjPtJEAQaGxsn/dzu3bvxq1/9CgqFAk6nE8FgELW1tWBZFv/8z/+MhQsX8kWeueeEy2OPvq7du3fjl7/8JeRyOcLhMLZv344tW7bk8xIzQiwSJzyigZ4jQi+uiSLyqaLJhRibkEXiUh2HpmmMjIyAYRh0dXUllBCbTCb8+te/RjAYhE6nw9atWzFr1qzzPkdRFCQSSdIJQ6VSoaenB+3t7dlfEEQDYKpz00034aOPPsK+ffsglUrx1FNPpd3fPLrwnM1mw+23345IJAKGYbBp0ybcf//9UCgU0Ol00Gq1fN4aUNwc9Jn0zIbD4ZjonohIOnDR5lxrF3CF0+Kj5onOlW+iz8OyLP7nf/4Hb7zxBkiSRFVVFX74wx+iuro65jsXXnghDh48CJlMBo/Hg5qaGni9XjQ3NyeNOhfCcZ3t8TkVw2Tt37J1zhAEwRccVSgUqKioAMuyiEQifNG5UCgEiUTC57ArFIqiOWvjxz4VKbYabTJef/111NTUQK1WY3h4GGazGd3d3QCAZ555Br/61a/AMAxqa2v558TlcsFqtYIkSd5g37NnD3+cUCiEvXv3lpSBnu/fwe/3Z93KbqoiGug5kg+JOxeRj46aJ4smT3YsoSLfQh0nGR6PByMjI6ivr4der0/62f3790MikcBgMEAqlWL37t34+te/zv89FArhzTffxNDQEMrKynDllVfyEuX4sUyVar8zgWItshKJBDt37uSjRNlulJ588kn4/X5otVowDIM9e/bg+9//PjQaDd+LPbrwHEVRGckqpwPFeFdKscWaSP4Qag7h1vVsDfTJoubR5KOOTSKi783o6Cj279+PxsZGkCSJkZER7N+/H1u3bo35zoYNGxAMBvHmm2/CYDDglltuwaxZs1Le50JE0DOFpmm+wFu++sxzxF87QRCQy+Uxij/OEHO73QgGg7whplarM6oALnKOUjbQ9Xo9zp49CwAYGhpCJBLBe++9h7lz54IgCNA0zTt24p8TiqIQCATg8/lAEAQcDgdf+0Gv1xfzshKSz99BlLiLZEy+JO6RSATDw8OQSCRZ9zUvtQh6IhiGwdjYGILBIC83TkUoFOIlyTKZDF6vN+bvR44cweDgIJqamuByufD666/j5ptvPu84Qhno05XpfG3RcI4BrmBgLsdJBOf9rqmpAQC+8JzL5YLT6YTD4eArxWu12mldbbwY1eNnoixOJHdyWTujo+ZlZWWTzqXFaNU6MTGB8fFxEASBuro6AEi4jyEIAmvXrsX8+fNhMBjSepdKzXHt9/thNBpRVVWFioqKkljbuCr4XKoiZ4h5vV7YbDaQJAmlUskb7PleF0rp98qUUoqgUxSF/v5+kCSJzs5OSCQS/NM//RO+853v4OjRo3zF90gkgiNHjuChhx5KqfSUSqW8Su+b3/wmvvOd72B8fBwkSeJLX/oShoaG+AKFXGpFqdwLoZmJa7looOeI0IsrQRBwuVxwuVxZRc3zNbZ8TOB+vx9DQ0OoqqpCU1NTWhPLmjVr8Oyzz/JtUK666qqYvzscDn7RKy8vx+jo6Hn9WgHhNhFTeWErJYq1yAp13q9//et46623+GjItm3bzpOLAuALz4XDYV7+zhWeM5lMYFk2xmDPpPBcOhRzM1MMA12MoItkQzaqsUyi5rmeKxccDge+//3vY3x8HGfPnoVGo8GyZcuwbt26mM9F52p3dHSk/e56vV4cPXoUer0eF154YV6j1algWRY2m42X5OfqhE2HbOfWaEMM+LwCuN/vx/j4OADwBnuqll0zkVLZg4XDYXznO9/BiRMnAAArVqzAgw8+iNbWVjz99NN46KGHMDw8DIVCwXeGufnmm9NOd5s9ezZ+8pOf8IUmy8rKYjoK2Gw2vqMA96xMpwKFYh90kYwRMoIeiUTgdrshk8mS5mBnOrZ8S9OzgWVZmM1muFwutLe3ZyT17e7uxi233IKhoSF0d3efl0Pe3t6O/fv3AzgXyWhvb0+4mIkSdxFAOIN1yZIleOedd/D++++jrq4Ol19+ecrPc4tyfOE5mqb5wnM2mw0URUGtVvOV4nNdcIvZA12MoItMFTJNXeOi5tXV1SgvL8/oHS10BP2jjz6CzWbDmjVrYLPZYLVa8bWvfQ319fUAzs2JLpcLdrt90lzteMxmM+666y64XC6UlZXhoosuwqOPPlpwgzIcDmN0dBRarRbt7e1TzkjhKoBz955hGL5KfHTLruhe7DOZUvh9Dx06hGPHjvGF4z744AOcOHECF1xwAVQqFbZt24bHH3+cl7Rfe+210Gg08Hg8aY8/2okDJO4oEA6HYwoUSqXSkqt3kA1imzWRjBHqYXc4HDCbzdBoNCgrKxNkwi1FA5JhGHz22WfQ6XTo7u7OamJtamqCTqdDU1MTWJblo+QGg4Fvl3b27Fl0dnbiggsuSHgMoSXuXGV5ru2W0JHPQlKsZ6ZYi6xQ521vb0+76GAyx4BEIkFZWRmvAmFZFn6/n6/REA6HoVQq+c1bdOG5XM5bCEQDXSTfCPVspxvVzjZqHk2h2qxxcMYyQRCoqalBJBLh1T4URcFoNIIkyaTO7WQEg0HcfvvtOH78OBQKBYLBIN8WiiuKlW9YloXT6cT4+Hjakvx8jEFoSJKERqPhDRSGYfjIqcvlAk3TUCgUvCE2lfcfmVIqe9xQKMTnkgPn3q9wOMz/vaenB48//jiOHj2KhoYGXrEi5JocX6AQSF7vgKsUL4TzrBD7CtFAFyk4kUgEIyMjIAgCXV1dcDgcgnnTi5HblgyWZWG32xEOh9HW1pbTi8YZ1yzLYs+ePThx4gSfS7d9+3bMmzcP8+bNS+sYucIwDCwWCyYmJlBXV8dLjWiahlqt5it4i5WkU1OsRbaY501nQSMIImZjxknaogvPyeVy3mBXq9UpjWAxgi4iMjnprJ25RM0zPZeQrF69Gn/6059w5swZsCyLVatWYe7cufz11NbWJmzjOj4+jtHRUTQ0NMS0YuP44IMPYDQaIZfLoVQq4XQ6odVqCzbHcs4FiUSSsXMhmlwMjUI5P0mShFqt5ue2aKmz1Wrlpc7RBvtkYyuFKHS2lMLYL7jgAlRVVWFkZAQA0NjYiAULFsR8ZtGiRVi0aFHMf8u3cRtf7yA+fYJlWd5gz1aNUYiuNGKROJGsyHYB4vp9GwwG3tsl5GJdKgY61+NRqVRCoVDk/JJx0Q2r1YoTJ06gpaUFBEFgcHAQp0+fxsKFCwUaeWpomobD4YBer0dXVxdIkuQra8b3yOakypxESTTYS4Ni5r5nY6xGS9q4wnOhUAherxfj4+MYGRkBSZK8JF6j0cRsVGdaBF3MQRfJhlRrJ1cRnKIotLa25hytLGQOOjd/PPnkkzh5y3Zh6QAAIABJREFU8iRkMhnmzJnDX08yFcAnn3yC//iP/wBFUSAIAo8//jiWL18e8xmGYVBeXg6Px4NgMIhIJILu7m7Mnj0779fl9XphNpuTOhemO4mkzqFQCIFAgA+MyOVy3mCfTrnJpVIkrqKiAk8++SQOHjwIkiSxZs3/Z+/Lw6SozvXf6n2brXv2fRRmjAoKGHGLEtEoXKJGA4qRKAZxj0JErsYlGjWPRhIwRG80gMQQiFw0oiSaKIoKqJdNQFkUmX16md73pap+f8zvHKtnumd6qV6G6fd5fBKmq6tOVZ8633m/5f0uSMj2ZHv8sconYmVjJCM8l+p+JhkUIugFZAWRSASdnZ00ai40iGK2XMlW+5bhQFL36+vrUVxcjEOHDqW9IAkj6OTfwr8nc45U4XA40NvbC61Wi/r6+iGfC3tk19TUgOd5SthJqw0xa4tHO0a7SFyyENPjTFLaSI/QSCRCleJ7e3sBgJZeyGSyMRVB93q9hQj6GIJY71Q8gi5W1HzwtbIVZSZ2T6VSYcqUKfB6vejs7BxR4XzFihWQSCSoqqqC2+3GsmXLsGHDhqhjzj77bLS0tIBlWXg8HrS0tOAPf/hDRuvPSQZbMBgUxVkiBvIh5ZphGKhUKqhUKpSVlcWsTZbL5ZSw58OYU0U+jd1gMOCHP/wh/XcwGMRbb72F3t5enHvuuTjrrLOGfIfn+ZyK/sXKxojl3CGEXalUDlknshFBDwaDWRF6zCcUCLoIIEYvkQkaK2ouRD5H0JMhM5FIhKb6CJ0QZEzpLEjkeVdWVqKtrQ2HDh2CRCKBXq/HySefnNQ5kgXLsuju7kYkEkF9fT28Xm/C1yNey+rqalpb7PF4aG2xWq2mhD3WIliA+DgRHQPDCc85nU4Eg0F0dHTQ+Zgt51CuUtzzsV9sAfkNqVQaVT8qdtRciGxmugmj9WazGX6/H42NjSNmdHm9XnqMQqGAz+cbcoxOp8Mf/vAHvP/++2BZFpdddllGnWOBQAA9PT0oLS1FdXV1XtjLfBhDLAyuTeZ5ntYmOxwOeDweBAIBqmuiUqny9l5iIR/HyvM8fv3rX2PHjh1QKBR444038Pjjj+O8884bclw+jT+Wc0c4V4LBIKRSaVQde7Zs+2gVuEsVBYIuAoji63Ckk0TNAQyr0J6vBD0ZJ4TL5aK1aoM3x2Kqp0skEvzoRz/CmWeeiUgkgsbGxoQ3BKksiCTaUFFRAYPBAI/Hk/K9CGuLq6qqwPM87YPa09ODYDBIxcA4jsu7RVxsnIhEOV+uKxSeKy4uhtVqpfNXKDxH9BIytTkr1KAXMFogJLIkfVrMqHm8a2UaEomE1inL5XKEQiF4PB7o9fphv3fdddfhd7/7HRwOBziOw6233hrzuKKiIkybNg2BQCBj7x3P84hEIujp6UFdXV1SXWAKGADDMFAoFFAoFCgpKYHZbKbP0eVywWw2DyFh+UqO8imCLoTL5cKnn36Kuro6MAwDm82Gf/7zn3lP0Adj8FwBBvgM2a/29/fTCLrH48lIG8B8/Y0zjQJBFwGk1Vq8SUnSoWMR1sFItr3LcBBTxZ2Q/ZEEqLq7uxEMBjFu3LiYXnmx25uR57V582aEQiFMmzYNF1xwQVrnHwye52EymeBwOJJuC5coGIahaUaVlZVRYmDhcBiHDh2CUqmkEfZk1bsLiI8TnaALQRyJwho0MtdIL/ZAIJCU8Fwy1y6kuBeQSYiZ4k5IYCai5kJkax0gac4mkwkcx+Hee++lLZ6eeOIJnH/++VHHd3V14ciRI6irq8MVV1yBmpoaHD16FC0tLTj33HPjXieT3WNIb3ae59Hc3JyX/cBHK5kg7bhIDb+QhFkslij1b7VanTeEPV8Jrkqlglwup8GWYDCI0tJSbN++HWazGRMmTMC4cePydvzDQSaTRbV8c7vdVHtC2AZQWMeeLoQK+WMFBYIuAuJFqkmaN8/zGD9+fEKTVMy+6pmIoMcDiS6Xl5ejoaEh7oskxpiEY3E4HFi/fj30ej2Ki4vxr3/9CzU1NQmnuo+EUCiE9vZ2aLXaIW3hMrkREYq+9Pf345RTTkEwGKQ1kEL17qKiImg0mlG9eOUykp0LZENUJRZikWThXCPOIRJZI8JzQlI/WHgumWtnu0Z0LArLFJA+AoEAXC4Xqqurh63NHi0IBoPo6ekBwzCoq6vDQw89BLfbjYqKCvh8Pjz++ON4++23EQqFcOTIERw/fhzLly8Hy7LgOA733HMPZs+ePUQYLhYyZRedTicsFguqq6thMpnyhiCeqBhMwgarfwOIIuy5dJbk4/upVCrxi1/8Ar/97W/hcrlQU1ODUCiEBx98EMCAuvozzzwz7H55tICUUBAdHI7jaB27sKsAmSvJltWR3vFjDQWCLgJiRb2TiZoLka8p7vHOxfM8+vr64Ha7E4ouix1Bd7lc4HmeRslkMhnsdntC5xlpHEQvoKGhgRqpeOPINIR1QRUVFZREud1uWCwW+Hw+yOVymqYsVtTzRMdgx4DP58OBAweoMn+mkA1RlVhIxBEirFckBjccDscUniPzLZHWLIUU9wLyHaTWPBgMQqPRjHr9Ap7nYbPZYLfbUVdXB5vNBmBgf0JstVKphNPphMPhwF133YWOjg4cP34cOp0OEyZMQCgUwh//+Ef8+Mc/Trg1pJh2MVavebPZnJeRx3wbTzIYaeyDM69YlqXq3yRqmm67rlSQzxkL06dPx6RJk+BwOGAwGHDllVeisrISUqkUNpsN69evx3333Teq5w0wdD8jzLYAvs3eGSxSKCyhGO4Z+P1+eq6xhAJBFwHCqDeJmnMcl3DUfPC58pWgD14IA4EA2tvbUVJSgtbW1qwZb+FYDAYDVCoVLBYLFAoFWJZFdXX1kO8Eg0FaSzMSWJalv+FwegG5hJBElZeXAwAl7FarFZ2dndQDTqKe+UzY86EW3GQy4bLLLoPVagXLsrj77rvxwAMPZPy62USqJFkul6OsrIwSFqLUTPqxcxw3pCuBWNdOBwWCPraQzjtFas0NBgPKy8thNBpFHFn2QdLBlUolTjrpJEgkElrvfvXVV+Opp56Cz+dDJBLBFVdcgX/96184duwYamtr0dvbi/7+fni9Xsjl8iE2m0RRq6qqhrzrYhJ0n8+H3t7eISrz2XSOJ4t8HZfYkEqlVEcHiG7XRbQKxE5zjod8Jrh6vR56vR6hUChKJJllWSgUirx0NCWLkWx7LJFCUkJBNA+GK6EYq3Y8/5jHKAR56ZxOJ3p6elBdXT2i6MpI5xJzXGJAKGTD8zwsFgusViuampqSenHETnHXarW46aab8J///AfBYBAzZ86ManvG8zw++ugj7N69GxKJBBdeeCEmTZoU99xerxcdHR2oqqqCXq8fduHMt02CQqGAwWCIinq63W7Y7XZ0d3fT1m/EC57PhD1bEBrHFStWoKenBzqdDgzD4LnnnsONN96I2trajF43mxCLJEulUpSUlFDRGI7jaFcC0kaQdCUgwnMsyxb6oBeQcSS7LrMsC5PJhHA4TGvNI5FI1oTbCMRaE3ieh9PpRH9/P6qrq2nEE/jWuT1z5kwUFxdj7969aGpqwqxZs7BmzRp6XFNTE/bv3w+LxQKlUonbb7+dju3zzz/HokWLaE3tH//4RzQ3N9PvimEXeZ6H2WyG1+uNqzKfT7Z3tEOMZyls12UwGKi2id/vh8lkSqm/drbGng0oFArcdttteOGFFyCRSKBSqTB//vwTgqAn2yqOYRjI5XLI5fIozYNAIBBVQqFQKHDw4EHo9fqk7HggEMCSJUtgtVqh1Wrx9NNPD+Fkr776KjZs2ACZTIbbb78d3//+9+F2u7FkyRKq/fTf//3fw/KFTKNA0EUAwzAwGo2QyWQpRc2FyFeCTgw7qcnWaDRoa2tLesMtVoq78L6qq6sxb968mMd2dnbis88+Q0NDAziOwwcffIDGxkZKYgl4nofRaITL5cLJJ5+cUL/FfCPogyGXy6n3FohOU+7p6YFEIqEESqfT5VxwJ9NGav/+/Vi2bBk4jsOiRYswefLkKOPocDjosRKJBBKJBB6PJyNjyVUNeqauK5xLpI0gERgiwnORSIQKvWRLM8Hn843J1LgCEoMwal5TU0PnZDZbnwHJdUkZDpFIBL29vZBIJGhpaRmypguv873vfQ/f+9736GfTp0/H+vXr0dPTAwC4+OKLMW/ePDQ2NuLMM8+kxz300EPgOA4GgwH9/f145pln8Pzzzw+5Rqog9fI6nQ4tLS0xn0km1450zp3ve4JsQqhtotfro/prWyyWtOuSCUYTwZ0zZw4mT54Mi8WC1tZWGAwG9Pb2gmEYmM1m7N69GzqdDuedd17O92PJgOO4tDNNZTJZVAkFx3HweDz44osvsGfPHvT19eHBBx/EWWedhSlTpqCxsTHu775+/Xq0trbi7rvvxpYtW/D888/joYceop9bLBa88sor2LRpE4LBIK6//nqcf/75WLNmDc455xzcdNNN+Oabb/CLX/wCr7/+elr3lQ4KBD1NEE91SUnJsBMmUYi50MRKS08HDocDTqczbk12Isi2AfP7/ZBKpfQ/8jcyFmBgQ9De3o6ioqKEU/WzDTGM0OA05UgkAo/HA5fLhb6+PgADvWzlcnlOokdioLu7G9deey0OHTqE8847D3/9619RWlqKjo4OzJo1i/7227ZtwwcffADg23lw44034o033oDL5YJUKsWkSZNEExscjFxt4sQwpIkgVleCr7/+GjKZjGomCA1ypjI6kvXsFzA2ECtqLkS27ZQYtpqkilZWVtKo1GAM19KtpaUFq1atwocffgitVovLL788ZtTKZrPRzBmNRgOTyYQPPviAOj8XLFiAKVOmJD1+nudht9ths9lQW1s7bGZegQiPPgh1dEh/bVKXbLVaEQqFoFAoKGFXKpUJ73nycc8WD+PGjcO4cePov3meR3d3N2677TZ4vV7wPI9p06bhySefHDX3lQnHv0QiQXFxMe655x783//9Hz788EP86Ec/wu7du/H000/jxhtvxNSpU2N+d/fu3ViwYAEA4MILL4xyIAIDwZpJkybR9nGNjY04fPgwbrrpJpqtQzI+cokCQU8RpE6ZZVlUVVXlZQsAsYxYJBKB2+2GXC5HW1tbWhtesVLcY4FlWUQikaiXqrq6morKsCwLnU5Ho+dEQMdoNKKxsTEqFTDRcYzmTYJMJkNpaSlKS0sBfFtXbLfb4Xa7cejQIVpTnKgQWK4xa9YsHDx4ECzL4j//+Q9uvvlmvPbaa9i5cycikQj9jQOBALZv345zzjmHzqepU6di8+bNePPNN1FRUYH58+dnlNyN5hT3ZEHWR4PBQA0gyehwOBxUYVpI2EfDfCsg/zDSuhwvaj74HNmEsDY1WRBhO5ZlqYjacNcZ7tk0NzdHpavHwowZM/DGG29AqVQiGAziBz/4AZYuXQqlUgmJRIInn3wSTz75JBobGxO+BxL5l0qltF5+OOSz7c3XceUbYtUlh8NhKjqXqJDYaH/ePM/jzTffhMvlQlVVFTiOw7Zt29DZ2YmmpqZcDy8hZFr0lnRjOeOMM3DGGWfg5ptvpp9t3LgRa9eujTreYDDQIKJWq4Xb7Y763OPxRAUZtVotPB4PdWxaLBYsWbKEKu7nCoUdUApwuVzo7u6mdcoOhwOBQCDXw8oISDo0SVNKl7CkYljNZjNee+01WK1WnH322Zg+ffqQY44cOYKNGzciEAjgzDPPxFVXXUUJ6LXXXov9+/dDJpNh0qRJUKvVYFkWoVAITqczZadDPm8SUgGpKya1YfX19fB6vbS1G8dxUcrdqZZyvPXWW3j//fdx2mmn4aabbqKbRjEWeELOgQHRvE8//RQAUFVVBQDUOcQwDE3FFmLKlCkpRX9GC3KZDjjYOZCI8JxWq6WEPRGBxwIKiAcSNQ+FQhnta54KhotsDwev14u+vj6Ul5ejpKQkoQ4N6TrIly5diubmZhw+fBjf/e53oVarsWnTJur8dLvdOH78eMLnI/ZluMj/YOSr7c23IM1oAhHxVSgUNEODEHan0wmz2QypVBpF2Ik9GQ3P3Waz4bHHHsPBgwcxceJE3HfffbDZbPD7/VHjDwaD6Orqwvz58zFz5kzcc889ebVWxUKmS/b8fn/cANrs2bMxe/bsqL/ddddd8Hq9AAbWyMHrik6no5+TYwhhP3LkCBYvXoz7778fZ599tpi3kTQKBD0JsCyL7u5uhMPhqFrzbNerZQOD79VqtYpyj8mm8rEsizVr1sDv96O4uBhvv/02ioqK6AIODHjXNmzYgNLSUlRUVGD37t1oamqiPVsrKytxySWX0OM9Hg86OztpnV6+Q6z6xGQhlUpRXFxMFzeO4yhht1gsYFkWGo2GEvZECNSLL76IxYsX07YZ27dvx6pVq0Qbc2trK44cOUJ7bk+ePBkAMG3aNNxwww1Yu3YtGIbB3Llzcckll+Do0aOjwriLhVxF0BO5dizhOa/XS/uxC4XnioqKRkyBzMcNfAG5ASGyw0XNc4lk7SLHcTCZTAgGg3FF1OJdJ107LpfLccMNN9B/Hzt2DMCAHSaZMolEz8k9pOowKbzfJz5iCYn5/X66B5FIJJTE53tr2cceeww7d+5EWVkZPvjgA2zZsgXl5eUIBoNYsGABysrKYLFY0N7eTp0Pf//731FaWkrTtfMVmY6gk983UUyePBnbtm3DxIkT8eGHHw4JukycOBHLly9HMBhEKBTCsWPH0Nraiq+//hr33HMPli9fjlNOOUXs20gaBYKeIAZHzQf3/BOboOcy0kUIbGVlJQwGAxiGEa2ePVkPPkm5Jga/uLgYXV1dUQTd7/cjEonQF1itVlMVSCFIz3aPx4Nx48bh2LFjaT3nfPXip4t490RU4ImnkSh3k9Zu4XA4irDHqt/53e9+h0AgAIlEgkAggFdeeQUvvviiaPN9y5YtuPrqq3H06FGcffbZePnllwEM/FbPPPMMHnjgAfA8T4XzRpPAjBjIJUFP9lkPnm9C4bmenh4Eg0EolUoaYR8sPEc+L2BsQTgHOI6D0WhEKBRKisiS82RrfUhmD+H3+9Hb24vS0lJUV1cnNb5M2KyTTz4ZTzzxBK1Bf/DBB0fc3KZzD0B+2958HddIGA12kLSOJTaBZVl0dnbC6/XCZrMBQFSrrnzSHzl48CDKysogl8tpK7px48bB7XZj7dq1ePXVV7F37148/PDDaGhoAMMwCIVC2LNnT66HPiIyva/wer2oqKhI+Pi5c+di6dKlmDt3LuRyOZYtWwYAWLNmDRobGzF9+nTMmzcP119/PXiex6JFi6BUKrFs2TKEQiE8+eSTAAYi7S+88EJG7ikRFAj6CBBGkseNGxfTwJOehmIhVxFTjuPQ19cHr9c7RMlcjNQ4cp5kDJhOp0NpaSnMZjOKi4vhcrnQ0NAQdUxJSQmqqqrQ3d0NtVqNQCCA1tbWqGOIEFxxcTHGjx9PPf0Fgp46hMrdwMDGhBD2zs5OGvEUEvaioqKoZ07qFsVCS0sL9u7dG/dzkk5NMNYIeq7vN12F5MHCc8FgEB6PhwrPyeVy6HQ69PT0oKamJqXeqYm0aHn55ZexZcsWAMBFF12Eu+66K+X7KiAzIFFzvV6fUtSc2LxsbPITsa+kvanH40F9fX1Kziex7Hg4HIbNZoNer4dcLsell16KSy+9lI7zm2++Acuy2Lp1K6xWK8455xw0NzeD53lYrVY4nU7U1dVBpVKldP1MrWE8z1MtG7JHIP8lYqdGqy0ZrfsYIv5bWVkJhmHAsixt1WW328FxXBRhz6WuycSJE7F9+3aUlZVF9fWWyWQIBoPQarWYNWsWXnrpJdjtdhQVFSEQCOC0007L2ZgTRTZS3JOx5Wq1Gs8999yQv8+fP5/+/zlz5mDOnDlRn+eSjMdCgaAPAxI1F0aSY0HsCDo5n1gTPpFNud/vR0dHB0pLSymBHTymSCSS9liSjcRLpVIq9GW1WnHZZZfh7LPPxpEjR+gxMpkMN954I7Zt2waXy4UpU6bgpJNOAvCtEJzZbEZjY+Oo7Ik8Wow+wzDQarXQarVRrbbcbje6u7sRCoXwwAMP4KabboJUKkU4HMbKlStz5pAai8hlBF1sCFWBy8vLAQzoDrjdbrz22mvYt28fXC4Xnn32WZx11lmYPHlyQjWuI7Vo6erqwubNm7Fx40YwDIPrr78el1xySV6kxBUw4FTv6+tLOv17MMTugpLOtRJpPSbGdRLBN998gwULFsBms6G4uBh/+tOf8J3vfCfqGI7jsHTpUrzzzjvgeR4qlQqrV69GUVER1Go1Wlpa0lqHMuEcJ+QcGOi/zHEc/Q8YmFfJEvYCMg/hPJBKpXQPAgzMQ0LYHQ4HOI6DSqWK6sWeLTzyyCN4/PHHceDAAVxwwQX46quvYLFYEAqFMG3aNJqZu3z5cjz88MPo6+vDjBkz8j69HchOivto3LuniwJBjwGWZWkKZbyouRBiE3SpVCra+UYiPzzPw2w2w263o6mpKW7PYLEMIvFyJoPKykrcdtttMT8LhUJgGAZFRUWYNWsW/bvL5YLdboff74dKpUJra2vcnrCpgqRpW63WuCndYmE0eriFEc+qqirwPI/m5mbs2LEDe/bsQVVVFcaPH0/FX3J1j2PJMZCr/uvZgkKhgMFgwFNPPYUjR47gxRdfxFlnnYVdu3bhxRdfxMKFCzFt2rRhzzFSi5bq6mr8+c9/puvJ4M4RBeQWDocDSqUypdRpISQSCViWzUrULd4egjiYHQ4Hamtr49rnRCGGHX/kkUdgtVpRVlYGp9OJ+++/H2+++WbUNfr7+/Hvf/8bZWVlkEgksFgseOGFF/Dss8+KstEWk6DzPE+JuJB4C/cLHMeBZdmECPtotNWjHcMFz8geBBj4HYPBIHw+H1wuF22lJSTsmdoPlJWV4fe//z399969e/Hxxx9DKpViwYIF9Lrjxo3D+vXrMzKGTCHTARZhxsFYQoGgD4Lb7UZXVxcqKytpHchIEDvFnWwMxDpXvKhZMBhER0cHtFotWltbh924i+WEEMuw8jyPTz75BPv27QPDMDj//PNx+umnAxhY+P74xz/SdPhf/vKXMdMU0x2LVCrFySefDJfLRVO6R6rBHssghP3000/H6aefDp7nEQgEqAiYz+ejrdBIpOVEJM+53MBl2tOdT/B6vSgtLcW0adPikvJUWrTI5XLo9XrwPI9nnnkGp5566qgQmxwrKC8vFy3bK1vir7FSz0OhEO2gkm7EmUCMe+rp6aGbZa1WC6PRGPM6AGiva47jUF5eHpec+3w+rF27Fj09Pbj88svx3e9+F+vWrUNHRwemT5+OCy+8cMh3xNpHsCxLCcZwRE/4/AlhJ+QeACXw5G8nsiN0tEIikVAyDoCWSfl8PlgsFoTD4SjCrlAo4s6J/fv349///jfKy8sxZ86cKCfA22+/jb6+Pnz3u9/FxIkTY35/0qRJmDRpEjo6Ok6IDiWFCLr4KBD0/w+O49Dd3Z1w1FyITKW4Z+pcpA6MpH0n0v9brHQ/sc5jNptx4MABNDQ0gOM4fPjhh6itrUVRURFWrFgBtVqN008/HX19fdiyZQvmzZs35BxiOAuId5akdJMa7K6uLoRCIWg0mijV6VRwohIqhmGiWqbY7XZUVlbSNlt+vx8KhYI+v8EiYKMV+dTqLFvIhVMiEa97Ki1agAHn5oMPPgitVotHH31UvEEXkDfIVYo7z/NwOBywWq2oqakRdWMqhs2bMWMGXnnlFaqAfNVVVw05xmAwYPbs2fjb3/4GuVwOg8GAn/3sZzHPx3EcFi5ciN27d0MikeC1117DySefjK+//hoMw+B///d/sWzZMlx++eWi3Ycwak7Ol6yA5WDCToS/SktLwbIsDbJIJJJCSnyeQlgmBXzrUPL5fLBarQiFQlAoFFCr1dBoNJSw79mzBwsWLEA4HAYAvPfee1i7di0kEgkeeeQRbN68GTzPQy6X47nnnsMFF1yQy9sc9fB6vQWCPpbBMAyKi4sT6iUa67tiIpMEPRwOo7OzEzKZLKn+32KKxIlxnmAwSAVCpFIpJBIJHA4Hurq6EA6HcdJJJ0EqlUKlUsHpdMYdi5gbMGENNoARCftw3lkheJ4fE2lzsWqK44mAEcKeyKYnHA4jGAwm5IjKBnJJ0HN17Vw4BlJNixupRQvP87jjjjswdepULFy4UKzhFpBnEDOTLZFrRSIRRCIR9Pb2QiqVoqWlRXSBOjHs7+LFi6HX67F7925MmDBhSI0sz/MIh8P4yU9+gh/84AdwuVyYNGkSXdMHw2w2Y+/evbQG12az4ZNPPkFraysYhoHZbMadd96J0047DXfeeScuu+yytNawwSnt6a6HPM/Tkrra2lqoVKq4EXYgfwn7ieD8ThcMw0CpVEKpVKKsrIzOZZ/PB5vNhmAwCLlcjnXr1iESicBgMIDneXzxxRfo7OxERUUF3nzzTZSWlkIikcDtduPll18uEPQ0kaxI3ImCAkH//2AYBqWlpbkeBgDxCTohdw6HA729vairq4tqU5bNMYlFig0GA9rb29Hf3083Ni6XC62trZg+fTo+/vhjKJVKhEKhmOlxYo4lHuIRdo/HQwk7UTmPRdhJCxGFQpFX7UIygXjEkRhLg8EAYCDtk6TEd3V1QSqVUsKu1WqHbHrWrl2LJUuWgGVZzJgxA2vWrMmqMEws5DqCXiDow2OkFi0cx+Gzzz5DKBTCRx99BGCAtEyaNEnU8ReQGsSa39mMoDMMQyOwlZWVCYkZpgIx7kkmk2HBggUxxauImB1pEXXs2DHU1dXR9TsWdDod7WdNxNnkcjmNTvb19UGj0aC9vR2LFi3C+vXrUVNTk9J9JJrSnihYloXRaATDMGhqaqJrXKIp8eTYfCTsBQy8lwqFAgqFAqWlpeB5HpFIBGVlZYhEIrR8g6j+k9+dZVnlG8uyAAAgAElEQVT6v8PZoLEQeBEDfr8/bwIs2USBoOchxCToDMMgHA7DZDKBZVm0tramJHojFpkVa9NTXFyMK664Al9++SX6+/tx2mmn4dRTT4VEIsFPf/pTtLa2wmKx4NRTT0VbW1vMc2S7TZqQsBPRNKJyPpiwy2Qy9Pb2oqqqatjNzViDQqGAXq+nba/C4TDcbjfsdju6u7tp72ydTger1Yr777+fesXffvttrF69GrfeemtO7yHXQm1jhaCnmhaXSIuWAwcOpDW2AvIf2YqgsywLm81GM78yKUqXKZvH8zzsdjtsNhvq6urw1ltv4Ve/+hUlLvPnz8fSpUtjflen0+Hhhx/Gr3/9a6q8f8MNN+C3v/0t/H4/pFIp6uvroVAoYLPZ8Pnnn6O2tjap+4gnBJcO/H4/+vr6YDAYRgx4FAj7iQG73Y5HH30U+/btowrxHMfhlltugUqlgtlsxvz587Fq1SqqKH/33XfHPd+J0L0mG3voYDB4QtTpJ4sCQc9DiEnQI5EIOjs7UVNTQ1PIcjkmMVPllUolampqMGXKlKjsB5lMllBKUbYJeqzrD1Y59/l8MBqNcLvdkMlkcLlc4Hk+qZT40YhUDRUR7CKEPRKJwO12w+l04pNPPgHwLSGNRCI4fvy4eINOEWNJqI0gVwR9cN/7AgpIFNmIoHs8HhiNRhQVFWVFMV4s+ytEJBJBT08P5HI5TjrpJEgkErzyyivgeZ7WY69evRqLFi2Ku8meM2cOpk2bBrvdjubmZiiVSlx++eX47LPPsGTJEnodiUSCpqYmAIkTA0KCSVRTjJR2q9VK+9GnQhxiEfZYbd3IsZkm7IVIbmJYsmQJdu7cCa1WC4ZhMHHiRDz22GN0TgLAHXfcgYsuugjd3d1oaGiAUqmExWKhejvCbMgTgaBny7aPRYdVgaCLBGL48kVpleM49Pb2wufzoaamJu0orFibFTFIMfFcWiwWjB8/PuWU5XxbGEn/XqVSiYkTJ9K0x1gRdqISn2/3kGvIZDKUlZWhrKwMM2fOxIMPPgi73Q6GYSCVSnHKKaegu7sbOp0uZylTJ4JRTha5SnEfi8IyYx1ipriLoQYfCxzHwWQyIRgMoqmpCeFwGHa7PSPXEkJsp4Pb7YbJZEJVVRXtfAAMrMNC0btEUFlZicrKyqh/z5o1Cx6PB0899RQikQhuu+02XHjhhbBarQmdlyirAxCFnBONAJVKhaamJlHnWj4R9gJiY8+ePSguLqaldd98800UOQcG5v4ZZ5yBM844A8DA7+b3++H3+2Gz2QCA9mI/EYIumc4IHMvOowJBFwnDtTNL5VzpbAx8Ph86Ojqg1+thMBhEqV8Wy/OervPB7/ejo6MDUqkUTU1NadcT58vLT0h4bW1tVDbA4Ag7Iezd3d0nFGHPBGktKSnBO++8g4cffhh2ux233norrrrqKng8HqoUHwgE0NXVRevYs9HzeKwS9GzrKIzV3qkFiINMpbj7/X709PSgrKyM9mon6c6ZhlhZYxzHwWg0IhwOo7m5OWrdtNlsmDlzJo4ePQqPxwOO43DPPfeknKJ63XXX4dprr40iAiOtn2ILwQED2Q5msxmVlZUZd+4WCHt+orW1FQcPHkRxcTF8Pt8QAdFYIGSezBmi+O/3+2G32xEKhWAymahSfDb2IGIiGxmBYr3Dow2jaybkMTLdGi0R8DwPk8kEh8OB5uZmqNVqmEymvCDWBKluEHieh8VigdVqRVNTU8zeq9kai5jgeR59fX3weDwjtveLlRJPCHtPTw+CwSDUanVUW7exuKgJ0drair///e9RfyspKaE1g19++SVKSkro5ovjOGi1WvoMMyEol+sa9FxgNNWgF1AAIH60med5mM1meL1emvoqvFY2eq6LYfOIg0Gv16OmpibKxqxbt47Wnjc2NuLOO+/E+PHjowQUI5EIvvzySyiVSqrUnsi4hccNdx9iC8GR343Ux+eCQBUIe+4QDAaxZ88eyGQy/Pa3v8UvfvELHDlyBJMnT8aTTz6Z9PkkEgnVIgqFQujv70dRURH8fj+MRiNYloVSqYRGo4FarYZMJsvrfVym9zMsy+b1/WcSBYIuEqRSqWje9lSMdTAYRHt7O4qKitDW1kYndD6lpqd6nnA4jI6ODiiVSrS1tVFjle54ck3QQ6EQ2tvbodPpMH78+JTa+2WCsOfimeQqqkzaKxLVZI7j4PV64Xa7aYcArVZLsxTEECrJVQ16LiP3pP4zmyhE0McmxEw7Fos0BwIB9Pb2oqioCC0tLUPGmInacLHB8zz6+/vhcrmGOBiAgcj5r371K8jlcshkMnR2duLo0aOYM2cOPcbv9+O6667Dl19+CZ7nceWVV+LZZ59NyfYNfl6De5uLsd6EQiH6u1VWVg47zn379uHRRx+Fy+XCggUL8JOf/CTt68dDJgj7WCVBw8Hn8+Haa6/FsWPHwPM8zj33XGzYsEG0bDBCbsk+jvwtEAjA7/fDbDYjHA5DqVTSCLtcLs+r3yrT+5mx2mINKBB00SCmMZdKpQmfixjN/v5+NDY2DokYiSnKJpaKezLjcTqd6OnpGdIaToz7yiVBJy3vGhoaomr30kE8wu7xeChhV6lUtK1bLMLu9/vR1dWFmpoaUcaUz4j12xMVePKbcBxHe9lbrVaEw2FoNJqosoJUrjvWCPpoarNWwOiHGGu7GDadCIo5nU7U1tZCrVbHvVaus7mGQygUQk9PDzQaDVpaWmK+yw6HAwzDQCaT0RK9vr6+qGM2bdqEzz//HDqdDjzP44033sD111+fUKrwYAifVyZS2p1OJ6xWK2pqauL+bgT9/f2YN28eAoEApFIpHn30UVRVVeGSSy5JexyJoBBhTxw8z+Ptt9/Gvn37cNppp+GHP/xh3PmyZcsWHD16lNqRnTt3YufOnaL1NY9lkxmGoYJy5JhgMAi/34/+/n6EQiEoFApK2HNdx57pCLrX6x2zdrxA0EWC2CnuiUTjSWRZoVCgtbU1pldPLKEbsRaARDdOHMdRUhlLCE6MDZhMJqNCPYSwZhrC+0q15V2iEBL2yspK6pkVRtgJYdfpdPB4POjv76flEfkOYrhUKlXGriGRSKLqx4jSfjrCfbkiyrkgybm8doGgF5AO0rXphNSq1eq4pFasa2USDocD/f39qKmpGbZkpKmpCS0tLTh69Cg4joNMJsPVV18ddQypSSckmmEYuN3upMckXD8z0dvcZDLRe0okWnrs2DGwLEufj9PpxGeffZY1gj4YyRL2fHYODYdUxv3iiy9i2bJlCIfDkMvlOHr0KO67776YxwYCgSh7zTAMAoFAWmMWIpG9AMMwUKlUUKlUKCsrA8/zCIVCVHQuGAxCLpdTwp7t0sZCBD1zKBB0kZDtFHe73Y6+vj7U19fT9NxUz5VNJEKs/X4/2tvbYTAYUF9fH/PlF4OgV1dXU7LV2dkZFR0lbc3ERCAQQHt7O/R6fdz7yiSEnlkhYXc6nfjqq6/AcRyKiorg8XhoG7tsjTFZ0rp161Zce+218Hg8OPfcc/GPf/xj2PdAjGsC0b3syTkGlxUInR4qlWrINXJVg55rgp7t2s0CQS8gHaSjBeNwOGj0NREdhFyXW8UCy7Lo7e0FALS0tIxIVKVSKTZs2ICVK1fi2LFjuO666zB9+vSoYy699FKsWLECTqcTDMOgtrY2peg5yaAjKu1i9jY3Go3Q6/Uj9jYXoqGhARzHIRgMQiaT0Y4h+YLhCHs4HEYoFALLsgiHw6Muwp6sDV+zZg2kUinUajUikQjWrl0bl6CT+UqyQ+rq6jB16lQxhg0g9T2IUqmEUqlEaWkpeJ5HOByG3++Hw+FAMBiEVCqlNexKpTKjv2Wm9xVj2Y4XCLpIyJZIXCQSQVdXF3ieTygCO5oIOhFjIb1Qh4viirGhEZKt6urqqOhoR0cHwuFwlGBYOoTdarXCbDajqakpbxYbYhjsdjvq6uqg1+ujIuyBQIBGh/NJdC4QCGD27Nnw+/2QSqX47LPP8NBDD+G5555L6jxiRLJjlRWQZ9jX14dAIAClUkmfoUqlGpM16LlwDoxFMb4CBpCrFHfSE1wmkyVEavMVXq8XfX19KC8vj+oqMhLKysrw8MMPo7u7G+Xl5UM+P/nkk7F582b8/e9/h0ajwU9/+tOUS7xCoRAikQikUqkoQnA2mw1utxt1dXVJ2/ra2lr8/ve/x3//93/D5/PhhhtuwFVXXZXWmDIJQth9Ph9MJhMqKyupbRJG2Hmep883H9fSVGxaUVERbXfGsixUKhWuueYaHD58GJMnT8aKFSug1+sBDARxNm/ejLfeegsymQw/+tGPRCtJBMSJPjMMA4VCAYVCQZ1KhLC7XC4EAgFIJBIaYVepVKL+lpm2swWCXkDayAZBd7lc6O7uRnV1NV1AsjkuMRBvMQqHw2hvb4darUZra2tCgiZiRxxiEXYiGCYk7IRsJaLwzbIsOjs7wTBM3DKEXIDURloslihnSKwIeyzCHi86nM54Ej2X1WqlGzPgW1XgTF4zUcTKUggGg1GEnWEYyOVy+Hw+qNXqrJHmXEfQ83GDV0AB8ZCszonL5YLZbB7SEzzfQGxnrHWH4ziYzWb4/X40Njam7JQezj6PHz8eDz30UErnJbXmSqWSlhkJRbbUanXS6wzpba5UKtPqbT5jxgzMmDFjVLTRJPafdBQYvJfhOI6WDuQzYU9lD/jEE0/g5ptvRiQSoYrqe/bsgUqlwvbt27FkyRKsWrWKHl9bW4uFCxeKOWyKTM0VuVwOuVxOswojkQjVI7JYLJBIJFCpVJSwp7MvLUTQM4cCQRcJUqlUlFpvYCipJnXLgUBgxFZcI50rH0EE00ZK1xciGymBDMMM6V9JIuyDFb5jEXafz4f29nZUVVXBYDBkdKzJIFGnQbyUeCHZVKlUNMNATMI+HKqrq1FdXY3u7m7wPA+lUon/+q//Svo82dhICevHKioqaCtEErnw+/1QKBT0GWo0moyNqUDQCyggcST6HrIsi76+PvA8j+ZBPcHzEfEIejAYRHd3N4qLi9Hc3JzWOpSMffb5fOju7kZNTc2wjg2hEJxMJqNCppFIhNpls9lMCbtWqx0xWuj1emkEWaze5vlOzolDQqVSobGxMeZ4yTMje4N8Juzxnvc333yDv/zlL5BKpZg/fz7q6+sBAFOnTsUHH3yAY8eOoampCRdddBF17CgUCuzfvx8A8Pbbb+Pdd99FS0sLFixYkBGNomw5c2QyWZT4Lcuy8Pv98Pl8sFqtAEAJu1qtToqwZyOCPlbbpea3JRlFEJMIC42b1+tFZ2fnsPXYiZ5LDIi5oHAch66uLkQikaQF0wbfl9vtxpdffgmGYXDqqaeKZmyFEAqG1dTUDGnJRURidDodAoEAXC4XTjrppIyKmCULUt9fWVmZtNMgk4Q9mXkllUrx7rvv4uc//zna29sxe/Zs3HPPPUndS7LXFAtE5bioqAgVFRUABjbGxLPt8/kgl8ujCLtYxm8spbjnWz1vAdlFtua5x+OB0WhMOhU8lyCZAeR9JOndDodjWKX5VK4xEg4ePIhrrrmG1m6vW7cuZo3vcEJwMpksqlUmIexOpxNGoxFSqRRarZaSD7J3sFgsCAQCOettngv4fD4YjUZUVFQkleWRr4Q93jrf09ODWbNmUQHCjRs3YuvWrbTsoqKigtrfCRMmYM+ePVAqlQgGg7jooouwceNGLF26lEbZP/30U/zlL3/JyPhzYZOlUumQ4JPf74ff74fdbgfHcVGEfbj3IxsicQWCXkBaSKY12kggBqSvrw9OpxMtLS0pk7xMOA7EeBl9Ph86OjpQXl6O8vLypM8pVB71+Xx46aWXqCdw+/btuPXWWzOeFhOrJRcpQ+A4DnK5HGazmR6Ty01AvJT2dBCPsHs8HvT19cHv90e1dYtH2IPBIPr7+1FbW5vwtRsaGvD666+Lcg/ZxmCySgRfiMMkFArB4/HAarWiq6uLGtOioiJotdqUNz5jKYJOnEUFFJAJcBxHO4A0NTUlVO40EsS0r8NBaDtJzbxcLh9RaT4ZJBoY+PnPfw6XywW1Wg2/34877rgDu3fvpp8Pbp+WyPgGE/ZwOBxF2CUSCcLhMIqKilBfX5/3mT0cx8HhcKC0tDTlsQpr7GOltCeLfCLssd6XrVu3wu/3QyaTweFwwOVy4aabbsJrr702JAP1hRdewD333INDhw7h/PPPx9NPP42f/vSn4HkeGo0GPM9j27ZtcLvdopeu5Es5BEn1J0SY4zjai93pdIJlWSiVSkrYhfMnGynulZWVGTt/PqNA0EVCoq3REkEgEEAwGAQAtLW1pfUCZyqynyqI4mRnZ2dajgfhWDo7O2G1WtHc3AwA6OjoQFdXF9ra2tIaa7Lwer00Vb+0tBQcx8Hj8dDUO47jKNHS6XRZI+zClPa2traMGkpC2Ek690iE3el0ore3F01NTdBqtbBarXC5XGhsbMx4vX6uoqwjGWWFQgG9Xk91JsLhMDweD+x2O7q7u2kmByHsiT6nsUTQx3LdWgHiYvD76vP50NvbC71ej+rqatE22CTqnOl1j1wnkzXzie4VLBYL3ezLZDLqZAfEa58ml8tRUlKCkpISOJ1O9Pf3o7S0lOreyGQyGmGP13XjT3/6EzZs2ICamhr85je/oXsNgnA4jHfffRc+nw/f//73E9YIGgmHDx/G7NmzYbfbYTAYsHHjRrS2tiZ1DqLGr1Ao0qqxHw65Iuzx5hiZz3a7nR6zZ88erFy5EosXL446trKyEuvXr4/6W3l5edS4ZTJZRlrPkueRbxDqOgCgezm/3w+z2YxwOEwJeyQSyaiTYSzb8gJBFwliEGGSdmW1WqFQKGiNVa7HNfhcqS4ooVAI7e3tVIE+nQVamEInl8vB8zxdiEn0Olsg2Q4ejydKI0AikUR58lmWpSnxJpMJPM9H1bBnYqEmmQqppLSni1iEXSiYRtLPKisrIZFIsGLFCjz00EOQSCQ45ZRT8O6772ZUbClX3utkryuXy1FWVoaysjIAA1Evj8dDnRsAohw/8ebRWEpxH8tGvQDxQKLNhHCazWYqrCV2TWo2+1ET+5OpmvlECfrs2bPx4osvwu/3QyKRYPbs2VFRc3KudNctjuNgNBrpPQvXyHA4DK/XC7vdjkAgALlcTmvYlUol1q1bhyeeeAIcx+Hw4cO44oorsGvXLmrnI5EIrr32WuzatQsAUFxcjHfffRfV1dVpjRkAbrvtNvT390OpVMJkMuH222/He++9l/D3/X4/+vr6Ek5p53keb775Jj799FNMmDABc+bMSWndHo6wk99XDMIez6bNmjULq1evxrZt26jKuVQqxd69exM678MPP4x9+/bB4/EAAJ555pmMvCf5EkEfCcK9HAC6l/P7/QgEAjAajVERdoVCIdp9FfqgF5A20k1xD4VC6OjogEqlQltbGw4fPizKuMQm6KluIEjf9oaGBhoFTBYcx2HPnj3o7OxEUVERJkyYAGCgR+ukSZPw+eefg+d5TJkyZYiHO1MIhUI4fvw4iouLMX78+GEXJalUOoSwkwi70WgEkBjRSgQ8z6O/vx/9/f1pZSqICSKYJpVKYbfbUVFRgbKyMng8HuzevRu//OUvwbIsGIbBwYMH8eyzz+Kxxx5L+jp+vx/33nsv3n33XXznO9/Bn//855ibpVwS9HTIqkwmQ2lpKa15JYSdOD4A0PoyYabGWIqge73eMVu3VoB4pSvEfoZCIfT09KC4uBgtLS0Zi0JmWtDV7/fD6/VCr9ejsrIyY+tfonuFX/7yl6ipqcGOHTswefJk3HbbbVEp7WKMLxAIoK+vD2VlZSgpKRlyTrlcTtdTkuFHxLOCwSD+8Y9/IBwOUxvqdDrR2dmJcePGAQB2795N0/IZhkF/fz/+9re/RUVqeZ7H6tWr8c4776CtrQ1Lly5NSCenu7ubrt9yuRzd3d1Djunv78ftt9+Ozz//HJMmTcLzzz8PvV4Pu90Ol8uF+vr6hIWFV65ciaeffhqhUAgKhQIHDx7EE088kdB3h0MmCXusOSKTybBhwwZMmTIFTqcTSqUSPM/jggsuSOicLS0t+Oijj/DNN9+gqqoqYynWo4WgD4ZQ/Nbv96O8vBw8z8Pv98NmsyEYDFJHF+nFnup9FkTiCkgb6aS422w2GI3GKBVzserRxHz5k207AwyQ0K6uLnAcFyUEl8q9bd26Ff/85z+h0+lgsVhgt9uph/eaa67BhRdeCADQ6/XYvHkzdu3ahcrKSlx33XUZWWCJ+nxDQ0NKkV6pVEpT74Bowi4kWskSdpLSLpFIMprSngpIaxzhXFer1eju7qYiLTzPIxKJYP/+/Th27Bi9/0Rbki1evBh/+9vfEA6H0dvbi1mzZtHohhCjJYI+EgYTdjKPPB4PTCYTLa0g7YlygWw/6wJBL0AMEMLl9XpRV1eXUUdnKvY1URCHrdvtpo67TL6PiUbQpVIpbrnlFtxyyy1RKdFikHOe52G32+F0OlFbW5vQ2keirQqFghL2M844Azt27ADLsjTdWSaTIRgMQqFQDLlPQjiFeP755/Gb3/wG4XAYH330EXbt2oWJEyfi2LFjmDVrFm688caY93vJJZfgrbfeQigUgkQiwSWXXDLkmIULF2LHjh2QSCTYtm0bbr31VixfvhwymQyNjY1J2f+XXnqJCoRxHIdXXnlFFII+GIkSdnJsPMI+3BzTaDT4xz/+gcWLF8NkMuGqq67CggULEh6jVqulQaBMYbQSdCGI810mk0GpVEY5uvx+PxwOBwKBAGQyGSXsyQgIF0TiCkgbqXi/I5FIVLsrYQpNuunkmUCy90gU6CsqKmAwGOgLmeq9ffrpp3STJJfLsWfPHsyZM4ees6qqCgDw/vvvY+vWrWhoaIDRaMRLL72EBx54QDSiynEcuru7EQ6Hk1afHw6xCLvb7aaEnbR9I4Q11v3kMqV9OPA8D6PRCJfLFbNV4He+8x3o9Xr09PTQDcJtt92Guro6WhLg9/uhVCrpM4hH2N9//32Ew2EaxTlw4ABYlh0y33JlHDOtejp4HhEtBJPJBLfbDbvdTrsNxGoPmAlk+1kXUtwLSBehUIgKTYkpoBYPmUpxJ9F/jUaDlpYWmt6eSSSjVzM4pV2M5xyJRNDX1we5XI6mpqaUz8kwDO677z588cUX+OCDD6BWq7Fy5UqUlJTAYrEgFAqhqqoKbW1tOHToEDiOQ1lZGebOnRt1no0bNyISiVBC//HHH2PPnj3gOA47d+5EOBzGLbfcMuT6y5cvR0VFBXbt2oWzzz4bDzzwwJBj9u7dC6lUSu9x165dUZl6yUCn08FsNgMY2H+kEngg5CzZdsDAUMJO5sVwhH04u9LW1oYtW7YkfQ/ZwolA0GNlBAodXWQfQgg70b6QSqU0bX64doiFCHoBaSNZ8up0OtHT04OamhpaWxrrfPlE0BM1ukIyFiu9OlWxubKyMpjNZqhUKni9XiiVStjtduh0uiiS0dHRgdLSUigUClRVVaGjowM+n0+U1muBQADt7e3Q6/VoaGjIONGKlcpM5s5gsTCbzZZXKe0EkUgE7e3tUKlUaG1tjfnMVCoVPvroI/zqV7+C2WzGz372M1x22WX0s8E17MMR9gkTJqCzs5Ma+OrqaqxcuRISiQRz586lrVaA3Ki4Z9soEy0En88Hg8GA0tJSeL1eeDwe9Pf3IxKJRBH2ZDZW+YoCQR/bSOf9IpFXm80GtVqNsrKyrGQhiZ3izvM8FUWrra2l74PYrVdjIdFsgMEq7WKsi6S3ebKtxOJBrVZjw4YNNG2XzIWysjLwPI9QKIS1a9fizTffhMfjwcUXXwyNRoNQKAS5XA6GYVBfX49Dhw4BGCAqhNTIZDKEw2Fs2rQpJkFXqVT49a9/HXdsX3/9NTweD3w+HyQSCZRKJc466yzI5XI8+OCD2LlzJ8466yw89thj0Gg02LhxIzZv3oyWlhbcf//9Q/ZEv/vd73DdddfR32H58uVJPasdO3Zg3rx5cDgcmDp1KtavX08JWjJIlLCTZ5nL8q10kGlnfTaQ6D3I5XLI5fKodoh+v5+2mJVIJJSwk770wNi25QWCLhISfclYlkVPTw9CoRDGjx8fN3olZts2sZDIBoIIwel0urhkLNUNwjXXXINVq1ahq6sLRUVFuO6666iqpFAhvaWlBXv27IFarYbT6URVVVXaL7iwTVlTU1NOFoxYtcckIvrNN9+AYRiUl5dT73U+GCyv14uOjg7U1taO2Ce4uroa//M//xP3c2Hdk5Cwk+iw3++HQqHAY489ht7eXuzatQt1dXUIh8N47LHHwDAM/vSnP2HHjh0oKiqC0+nMiQMs3Rr0dK8rbA9YU1MDjuPg8/ng8XjQ0dGBcDgMjUYTRdjzqdQmEYxlo15A6iBlMaTtmMViyZodFjPFnSh3MwyDlpaWqHUuk6n0wmuMZONJKRM5XoyUdovFAr/fL0orscEgKfImkwlvvPEGFAoFfvzjH0On06GmpgYLFy6kNsnn88FkMlG16wceeAAHDhyAzWaDUqmkugbEGdrQ0JDSmG644QZKTjmOg1qtxksvvYR7770Xb7zxBsLhML788kuYzWZccskluP/++6mj4ZNPPsE777wT9dzPOeccfPbZZ/jqq6/Q0tKSVOvTcDiM66+/Hh6PBzKZDLt27cIjjzyCFStWpHRvQsQi7KFQCDabDcXFxbT8gBybybZuYuJEiKADqdl3mUwW1aaYZVn4/X6q//Cvf/0LVqsVkUgk4fLhQCCAJUuWwGq1QqvV4umnnx7SUeHVV1/Fhg0bIJPJcPvtt+P73/8+/ezYsWOYM2cOduzYkbNyQCEKBD2LICnf5eXlI0ZfxWzbJhZGSsEjtfSNjY3DRqtTjRRUVVVhyZIl8Hg8Q6LmwpZmFRUVmDBhAr766ivU1dVh7ty5aS3WwjZlra2teYQa2XgAACAASURBVJPVQGp+fD4fGhsbUVxcTAl7d3e3aP2zUwGpebRarTj55JMzstgJCTsRKSGE/a9//St8Ph82b96MZ599FhqNBgzDwGq1YuvWrZgwYQIUCgXq6+tFH9dIyLfUepKJodPpUF1dDZ7n4fP5qF5AKBSCWq2mpRXpCL5kC2M5La6A1OB0OmGxWKLajmVDuI1ArGt5PB4YjUZUVFTEjF5mQy1+OIKeiag5caxotVo0NjZmbH0ymUw4//zz4XK5IJFI8Ic//AEffvghXWuENkmv11ObpFKp8Prrr6OnpwdvvvkmVq1ahWAwiGAwiJaWlmGj5MPh+PHjtCUW6QpTVVWFd999l9bLcxyH9957D0ajkUb1eZ7Hvn37YLPZhpTCVVZWpqTZ43A4aEkIMLBvIlkDYsPn88FsNqOmpgZqtTqplPh8wolC0MUA2a8S7vCTn/wEn332Gfbt24dFixYhFArhzDPPxKWXXoqpU6fGPMf69evR2tqKu+++G1u2bMHzzz+Phx56iH5usVjwyiuvYNOmTQgGg7j++utx/vnnQ6FQwOPx4Omnn86rDMICQc8CeJ5Hb28vPB4PTjrppITISibS3cSIgsUaEyGwwEDNz0gENp0UO9JyajCELc3q6urQ1tZGCbvNZoPNZqPeunj127FAIsBVVVV5V9MdS6Vd2I4rHA4PIezkGWg0mowZLKFIXbrt9JJBLMK+a9cu6uwiIjQmkwlTp04VtYdxMshVWluiaYAMw0Cr1dJNJ1Fndbvd6OnpoRtO8i6NJPiSi37zRKm6gLGJZN4vEm0GMKTtWLYJejrvCsdxMJvNCAQCaGpqihtBzmUEXaze5kK4XC709/ejuro641kzmzZtgtPpBDCQwWY0GrFt2zbMnDkz5vFCm0TKi66++moAAxF5lmVx6qmnQq1WIxwOJxz153keDocDp59+Ovbv30/X9u9973sAgPr6ehw8eJDO3/r6etTU1NDnTdTSxXRiGgwG1NfX072gXC7HpZdeKtr5gW8zGUlQgryr6dSw5xIFgh4fOp0OF198MVatWoV169YhEAjg888/h8/ni/ud3bt3UyHACy+8EM8//3zU5/v378ekSZNofXxjYyMOHz6MCRMm4OGHH8bixYtxxx13ZPS+kkGBoIuMwS+c3++nNdHxUr5jQcyNgViK8LE2EB6PB52dnUkR2GzUwA0WyopVv03IaqzoMul5a7fbcdJJJ+VVTTfLsujo6IBUKh1WpV0ul0Ov11OiQgi71WpFZ2dnVIqRVqsVxVD4/X60t7fnhUgdwzCYM2cO1qxZgyNHjoDneUyYMAEzZsxAIBDAoUOHoFAo6DNIVCU+XYw29XiGYaDRaKDRaFBVVQWe5xEIBKh4YSAQgFKpjKu2nwstDa/XW0hxL2BEJBJtHg0R9EAggJ6eHpSUlKCpqWnY9zxbNejCa2RCCI7jOJhMJrAsi6ampqysMaQGndwHIbqJIhgM0n0UcZSEQiGEw2H09fUhEolArVbT9TYWYec4Dn19fZBIJNiwYQMWL16MAwcO4Nxzz8Wzzz4LAPjzn/+MK6+8Ev39/aioqMDq1atRXFyMXbt2weFwgGVZPPfcc8PuaxwOB2688UZ88sknaG5uxrp162hruViQSCTYvHkzFi1ahPb2dlxxxRVRrebSBXGkKZXKhDJQgfwn7AWCPjyEa4harcY555xD/71x40asXbs26niDwUCzn7RaLdxud9TnHo8nSpdCq9XC4/Fg5cqVuOiii3DKKadk4jZSRoGgiwghESYEz2azpVSzLHb/cjFENISed57n0dfXB7fbnXQKczY3PQSD67fD4TA8Hk/M6LJCoUBHRwfUanVWI8CJgKi0V1VVJR0hHEzYQ6FQFGGXy+VREfZkDYfNZoPJZEJzczPUanVS380U1Go13nnnHbz11ltgWRZXXHEF3ZQQgR+h6Bwh7DqdLqVnkAhymeIuxlxmGIYKuVRWVsYU7xM+R6GwUrZQSHEvYDhwHAej0YhwODxstFkikdA66UyDYZiky9p4nofNZoPD4Ui4DVw27klI0DOR0k56mxObnq31dM6cOVi5ciUsFgsA4NRTT42qYR0J1dXVOOecc/DJJ5/QTKQ777yTCpeSbCWfz4fe3l6wLAu1Wg2tVguNRkPV6fV6PXUovfLKK0OuM378eHzxxRdwOBwoKSmh6+/u3bvR3t6OioqKEfcP9957Lz7++GOwLIvDhw/j6quvxv79+4f9Tl1dHV599dWEn0eiCAQC6O3tRXl5eUrq9PlK2Ec7Qc9WdlysZzR79mzMnj076m933XUXvF4vgAEn/eC5otPp6OfkmKKiImzevBnV1dXYtGkTLBYLbr75Zqxbty4Dd5IcCgRdRBBhN6JardFoUu5DnQmCLtZ5gsEg2tvbUVxcnFRWAEE2PPgjgaTKD04HJ04HtVoNmUwGv9+fMaKWDIQ13WKptCsUChgMBhrpJmTVYrHA5/MlTNhJ27lIJJJXNfrAwO/a0dGB8847b0hKO8MwUCqVUCqVNCWePAOz2UyJJqnjF2se5EokLlNKt7HE+4Rzyev10nRQMZ/jcCiIxI1tDDe/CPnR6/VRab+xkO0IejLEORwOo6enB0qlMqk2cNlMcRc7pZ2kdjscjoR7m4uJkpISbN++He+99x4UCgWmT5+eVM0qwzB49dVXsXbtWnR3d2PGjBk499xzoz4n0fPy8nJwHIdAIACv1wuLxYJwOIyioiIwDINIJDJsi1eGYYaUAyqVSrS1tSU01r179yISidB51dHRMeI1MwGn0wmbzYa6ujrRfu9kCDsh65mwnScCQc/kXiYSiSS1n5w8eTK2bduGiRMn4sMPP8SUKVOiPp84cSKWL1+OYDCIUCiEY8eOobW1Ff/5z3/oMRdffDFWr14t2j2kgwJBFxEMw6C/vx82mw0NDQ1ptfjIR4LOMAzddI8kBDfSeHJN0AeDkHGe53H66acDwBCilu1UaAJhSnsmI/qDCTuJihLCHusZBINBHD9+HHq9HhUVFXllbEj5RX19fUJe98GEHYj9DNIl7LmqQc/WZmDwc/T5fLQnMXmOwvKKTOgheL3eQgR9jGOwI5jjODr/GhsbEyJW+ZriTnoJV1dXJ22Hs2V/WZZFJBIRLRrJsiz6+vogk8nS6m2eLnQ6Ha688sqUv69UKrFw4cKEjpVIJFCpVHA4HFCr1WhqaqIq8Xa7nSq3kwh7qs7xl19+GS+99BIqKirw7LPPYty4cTjnnHPQ09NDnUatra2QyWTYvn075s2bB5vNhpkzZ2L16tUZKQHkeR4mkwmRSCTjv/dIhF2oEi8mYc+Vs14sZHovEwgEknK0z507F0uXLsXcuXMhl8uxbNkyAMCaNWvQ2NiI6dOnY968ebj++uvB8zwWLVqUF2rt8VAg6CIhEonA5/OBYZiEhNJGQr4R9Egkgv7+fvA8n/b9ZcODnwxCoRCOHz+O4uJijB8/ni44hKwKU3iNRiOtuS0uLkZRUVFGVa19Ph/a29tRXV2dddGreNFlksYskUgQCoVQW1sLg8GQN+RcTAX5WISd9O1MJstAODayac02ctUrluM4yOXyIdkaHo8HVqsVXV1donccKETQCxBCWKPd3NycEy2YkZCIXST1xyzLDhG0S+Y6mSTopC47GAyio6ODRoTTIZA+n49qBYjR23y0IBgMore3F2VlZbQ8TyaTUecjx3Hw+/3wer2wWq3geT7p571p0yYsWbKE9lK/+OKL8eWXX2LZsmUIBALYtm0bxo0bhzVr1sDn8+Hqq6+Gx+MBALzzzjt46qmn8Pjjj4t630SVX6fToaqqKuv2MluEPd8CVcki03sKj8eTVLmkWq3Gc889N+Tv8+fPp/9/zpw5mDNnTtxzbN26NblBZhAFgi4CiPCYWq1GdXW1KCm+YtaJpbvJIO2WiouLIZVK076/fEhxJ7Db7ejr6xs2IyASieC1117DgQMHcOqpp2L27NngeT5K1Zq0oRKrbzTp6Wqz2fJCpE4YFTUYDOjp6YHX60VVVRXNNCBCYUVFRSMqe2cKHMdRFdlMZBsInwGQHGGPRCI4fvw4ysrKclIGkEuCPvi6CoViiIChUBOCtH4jhD3Z51Ug6AUA3zrrXC5XwjXaQuSTijtJzSdq4Kmur5lykAsJjFQqRVNTE23ZSHobA4BGo4FWq4VarR5xPSK/n8/ny0hv83yGw+GA3W5HTU1N3HkrkUiiOm5wHDfkeZMIu1qtjrmOvvXWW1QZm4jWHT16FJMnTx4iwnXs2LGoORoIBLBnzx5R7pfA6/XCZDJlRZU/UWSSsOdLYCMVZDoDgJSYjlUUCHoaYFmW1t6OHz+eKoqKgUyouCcL0h7O6/Vi3Lhx8Pv91HOaDvIhxZ3UTYfDYZq6FQ+rV6/G66+/jtLSUuzduxdOpxN33XVXlEgWaUNF+kZrNJoowp4MSEq7TCbLO5G6cDiM48ePo6ioKEp/QJhlMFjZO1uEnaTbGwwGVFRUZPRaBIkSdrlcDqPRiLq6OhoJyTbyWZxusCaEsOsCaYFFCLtOpxuRsPt8vrwRKiwgNwiFQuju7oZGo0mqRluIfEhxJ85aj8eDhoaGtFMyM2F/4wnBMQwT1duYZVn4fD7q1CU9vAmBFK5PJIqq0Wgy2ts830AEDHmeTzq1mzg2hc+bRNj7+/sBICrCLpFIMH78eKhUKgQCAQADz72mpibm+evr66FUKqnQllqtxrRp09K4229BBA/JPM9nZ0yuUuLzDZlOcR/rYq8Fgp4iSH0raSdFXsJ8SktP51yBQAAdHR0oKSmhad/BYFC0WvZcpriTVmDl5eUjtusAgI8//ph6sTUaDbZv34677rqLfh6rDRXZhHR0dCAcDkOr1VKyOpzhIX3Xc5HSPhKIAyJWTXcsobBAIACPx0MJO+mdnYmyAJLF0tTUlNMFfTBhD4VC6Ovrg9FopDXYgUAga2JpQuR7/3UhBnddYFkWHo+HOoAA0HdKp9PFdLCdiBuiAhKH1WpFVVVVWhGYXKe4EyeDTqdDS0uLKO+v2PY3GSE4YbcU4NvSQKfTCaPRGJW+7XA4UFNTM6YiaCSlXSx1elI6NNhBQkTnGIbBDTfcgA8//BA7d+6ERCLBihUr4hJ0pVKJt99+GwsXLoTRaMQ111yDRYsWpTVGMi6iLzAanTFjlbBnOoI+1jPhCgQ9SXAch97eXvh8viH1rUTFXQyIea5kNhk8z8NqtVIhOCHZESs1/f+x9+VRjpTl+k/WTrrT6X1Lb9Pd0z0IyiIgeOUAI3BBBRG5oCNXWa/LQWcQmGFY7vBjk2UGcAYHuXIQrlxBBEUEWUQR8aoXBGQQhwFmes/S3dmTqiS1/v6Y831U0kl3lqqkMp3nnDlKdzqpfKlUfc/7Pu/zKMl+OS9SyvdWSPRdf38/du/ejZ6eHoRCoSWzQIH974/Izrq7uyHLMhiGQSwWg9/vhyiKaYTdbDbrTtKuBDFriUQiWL16dV6KAGUUl5KwK8cC1CDsJO4vHo9jdHRUV1V3ErUoCAI+9rGPwWQy5XTKdzgcqmXRL4VqIeiZMJlMaGpqotFCoijS79Tc3BwkSUJDQwN8Ph8GBgaKfp1kMomNGzciEAigoaEBt99+e9ZCmSRJ+PrXv46TTjoJ69atK/r1atAOLper5HtopSTuxK08EAjA5XKpuklV6z6e2TUv5jtuNpvhdDppwTeVSsHn84HjOBiNRgQCAWoUpaXXix5A3MqXkrSXiswCCSHsDz30EBYWFmC329HU1ASGYXKOIBxyyCH485//rNoxkaKEMjqu2pEPYed5nnrSVCthL0cHvUbQa8gLiUQCU1NTaGlpSTMTIzAajapK3MstlxcEIU1anSkjVWuz0tzcDJ/Ph/feew8mk4marWnZUSSycaPRWHAU2Pr163HDDTdgenoavb29tGL8s5/9DPfeey+sViuuvfbanHmoSplfT08PJEmi5GJ+fp5esOvq6jAyMqIrkkkiA+vq6oqK1CPIlp1NRiaKneMnx2a327N+HysJMm/e0NCA4eFhemy5ou38fn9aFn25CHs5oEUhjlw3yMaefKeee+45bN26FR6PB9dffz0+8YlP4Oijj0ZnZ2dez/voo49ibGwM3/nOd/Cb3/wG9957L6677rpFj/v+97+PSCSi6nuqQX8op9qL3F8FQYDH44HJZMLQ0JDqfhVqSNwJ2RBFkeZGlwpC1JqamtLiT4kBWiqVgtVqpcVvi8VywFwfSZFxYGCgrP4kSsLe3d1NFQ3ZRhBsNpvq1/FoNAq/3w+Xy6WrpoTayCTsqVQKc3NzVCVBOuykI10thL0cHfSaxL2GJUE6iOFwGIODgzlnG/Vk7FbocxH5ck9Pz6LsTOXzqFF5t1qttMuV2VEkUV5Op1O1uWWGYfD222/Tma5Cb4Dd3d249957kUgkYLfbEQgEcPfdd2P79u1ob28HwzDYsGEDnn76aQwODi77fEajkd4UGYbB5OQkXfN9+/YBKGzeVisQB/mlzolioRwLyDXHryTsmXOXWh5bqSDH5nK5lp03z0XYA4EAJexKs7Rq3JBKkqR5di75Tn3jG9/A17/+dZx11lk444wz8Nprr+GJJ57AySefjPPOO2/Z53njjTdwySWXAACOP/543HvvvYse8/zzz8NgMOD4449X/X3UoB7UkoOXCwaDATzPY3JyEh0dHZp1E0stOoiiSP9eDXKuzDbP7B5brVZYrVa0tLTQJBGGYTA/Pw+O4+jYGSHs1QaO4+DxeOB0OtHS0lLx63umoiFzBMFkMtFIt1LiZom6jOO4ovZk1QySSKA0wVN22MnISDUQ9loHXVvUCPoyIFEhDQ0Nyxp2kWgRNaA2Qc9VOCCS/UQisax8WYtugpKgKKO8vF4vJcRKkvb+++9j37596OzsxBFHHLHkhZ0UVvbs2YNnn32WXvDOPvtsfOpTnyroOAmh9Pl8OP/887F37174fD4IgoDh4WGEQiHs3bs3L4JOjo1I2kdGRtI2JWTeNhqNwuPxpDlaOxwOzS/Uypiycsnts83x5zLeEwRBl6MAABAMBjE3N1f0sS1H2LXOD9cC5R5lSSaTaGhowFFHHYWjjjoq5+Mef/zxRS7FbW1tVP7Z0NCAWCyW9vv3338fzzzzDHbs2IGdO3eqf/A1rEiQLioxnNWSbBZbaM9lBFcKyOwxcX1f6jqhTBJpbW2lY1Msy8Lr9UIQBNjtdkrYtS4KlgrSPe7p6dGtoWUmYed5fpFngLLDns85QRQi9fX16Ovrq3hRopwIhUKIRCKLTPCWksQTwk728EqyXun7v9b39kQiga6uLs2eX+/Q9xWsgiDzyvPz80tGcClRaWO3XMg1c5ZMJmn3tre3d9kLpdbzeMobMMneVs4t//3vf8dvfvMbOJ1O6qD/hS98IetzkU6E3W7HxMQErFYrOjs7wXEcnnrqKRx77LFFVW1/85vfIBgMore3F/Pz8wiHwwgGgzAYDBgeHs7rOcgogcViyVr0yZy3FQQBsVgM4XAYbrc7TZamNkkTRRHT09MwGAwFO8gHg0Fs3rwZ7733Hk4//XRcfvnlRVfGsxF2pRzebDbD5/MV7ZSvNmRZhtvtRjKZLHiEYilkI+wkPzxfwi7LMnw+X8WKGeUm6AzD5FV1P+ecc3DOOeek/ezb3/42dShmGGaRGeKvfvUrzM3N4fzzz4fb7YbFYkFvb2+tm15D0SAZ7c3NzbBYLJp3gouZQS/ECC5fkE5ie3v7ou9ZPlCOTZECfyKRAMuycLvdkCSJRoyVksGuNiRJot4k1dY9tlgsaXsTQthDoRCSySQ1+auvr89K2BOJBLxeLzo7O/PaUx8oIPdgMsaw3P0wG2EHQL+D5H/JYytF2GsmcdqiRtCzgOd5SqDWrFmT9wVUrwQ987lIh9Tv9xdkllbu/PLMueXnnnuOZtkmEgk89dRTOOyww9Dc3EzN1oD9lenZ2Vn09vaiqakpTYaT6z3E43E8/PDDmJ2dxQknnIBTTjkl6yaEdB9aW1sxNjaG999/Hw0NDbjlllswNDS07HsiLu2FSLPNZnNaBBXP84tk0LmytwtBMpnExMQEOjo60N7eXvDfn3nmmfjHP/4BWZbxzjvvQBRFbN68uahjyQSJ3GlpaaHzxMU65asN5bz5yMiIph2BzPzw5Qg7AExOTsJiseR1fmqBchP0Um7qH//4x/HHP/4Rhx56KF555RUceeSRab/ftGkT/f/33HMP2tvba+Rcp1Dze6hFRCFpAkQiEXpfC4VCqr5GNhRyH1d2zQF1CAB53wzDqBqnpSzqtre3Q5IkGjEWCAQgyzLt9lZKfaSUtHd1dVV99zgbYWcYhhJ2i8VCP5NEIoFoNKr7CDW1IQgC3G43HA4HWltbi/rMMwl4NsJOXquchF1riXsikajNoNfwISRJwt69e+FyuQqeATOZTKoZu6lJhpUEXdm9XbNmTcEZm5WMR3M6nZidnYXT6YTRaER/fz/a29vTzNaA/RsApcT45JNPxs6dOzE1NQVRFHHmmWemFV1kWcZVV12FXbt2wW634+WXX4YkSTjttNMWHcPpp5+OX/ziF3Qea/369bj55puXvUhlStpLybK1WCyLSFq2Of7Gxsa858SINLuQgo0SDMNg165d1NyN53n8+te/VoWgE5l7f38/lR8DWNIpXxCEshD2RCKBiYmJvObNtUAmYVcWb6ampsBxHBobG+kMZ7W6uBeCUgj6unXrcNVVV2HdunWwWCy48847AQAPPvggBgYGcNJJJ6l5qDVUAUhRVs3vDs/zcLvdqKurKzqjXWtoIWnneR5erxc2m03zOC2j0UjvEUB6JjiJGFNmsGv9GVSDpL1UWCwWGhEnyzJ4nqfKN1EUUV9fj1gstiJc+YH9TQ+Px6O6YiBfwi6KYlrCgtrnuNYd9EQiUeug1/AhjEYjDjrooKKrXJUksLlAjot0loslE+XuoGfis5/9LKanp2nX+KKLLqIELJVKYWJiAnV1dbBYLJicnAQASk6uuOIK+Hw+OJ3ORZ3ESCSCt99+m8r8DQYDXnrppawEvaOjAz/96U/xxhtvoKGhAUcffXRebuNLSdpLRaYMOpVK0fipRCKBuro6uk6ZsjNJkuB2u8FxXEnSbOIVwDAMjY0bHR0t6X0RI5lwOJyXP0KmUz7psGdG2zkcDlUIeygUgs/n09UsPCneWK1WMAyDoaEhSJKEQCCAmZkZOh5BXOLLQQwqIXEvtuput9uxY8eORT+/8MILF/3sO9/5TlGvUUN1gdw/1TqHI5EIFhYW0N3drVuZL4l/AqAaOSdF5K6urop0xbJlgivTVAihL9UALRMr1RCNrF8kEkFbWxuam5uzuvKTIkk+yS3VBBKb19fXp/kIXqUIezlM4vR6jSwHagQ9C4o94fRK0IH9N8dUKlWSAU2lL57t7e3YtGkTQqFQmoQ3FArB6/Uu8goQBAHxeByRSATxeBx2ux02mw3xeDzNEZsYnJDOG8uy6OnpyXkcTU1N+PSnP53XMRcjaS8VmXP8hLBnGu/ZbDZMT0/DarViZGSkpIu10WjEY489hnPPPRcsy2JsbAxbt24t+vlILJ7ZbMbo6Ghex0ZiEF0uF5xO57LRdplZ9PlClmVqrKjmvLlaIOMryqJGZoc9GAxiZmaGSuK1JOySJJV1jUoh6DUcOFDrfqXWfZ0YokmShFWrVuW85lRK6UJeW+2uOZm55nkeAwMDujFvy4xqFAQBDMOkGaCRDnyx3V6ilGhsbERnZ2fF91DlRDwex/z8fJpiIJsrP8uyWFhYAMdxNEavvr6+agk7UUumUqmyx+YRlIuwl8MkrtZBr0EVqClxB9TZYCQSCWr6tXr16qq84ClhtVqpq6MkSZiZmYEgCBgbG1t04zebzVRuBWSf3SYZ7DfeeCO2bNmCSCSCNWvWZO2YFQJSNQ+FQiVL2kuBwWCAzWaDzWZDR0cHNd6bn5/Hc889h6uuugqJRALDw8N48skn83ahz4bjjjsOMzMziMViaGpqKnkWvrOzk6oClsOePXvwuc99DizLwmAw4JFHHsGJJ55If6+MtgOQlbArnfJzbSLLOW9eKGRZxuzsLHiez6nUyByPIN+JUCiE2dlZ2mUisW5q3HyrSeJeQw2ZUIOgsywLj8dDO4m5rhtayOnzhRZGcKlUCl6vtypmrs1mc9Z56mAwiGQyWXC3lygGlHFaKwHE4yiRSCxZkFGaAmfG6BHCXldXlxajp+fzB9hPeD0eD2w2m64c6rUi7Fpfq2o56DWoBi0k4MV+AUgVLxAIoLe3F36/XzcXCzWQSCQwOTmJ9vZ2tLe35/XeMsmJUgre1NSE7du3w2AwLJl1nw+IpN1qtWoiaS8VoVAIqVQKW7ZsoTKzffv24dvf/jZuv/12GmdWjDu6yWQqaRabqCFWrVpV0KZmw4YNCAaDsNvt4DgOF110EcbHx3M+Phthj8fj9HzIRtgrPW++FEjhwOFwFLQxKAdhF0WxRtBrqFqUQtBJoZZhGAwMDCx7PVVbTp8PMo3g1CDnsiwjEokgFAotyjavFmTOU2d2e3ORR6WkXU+KgXKAENS6ujr09/cXdB5li9FLpVJgWRZzc3PgeR51dXW0w643wp5KpWgRrphUgnIiGwGXJAmiKNL/BZYn7Fpfq2oEvQbVoPbFghD+Qp+XuNDX1dVhzZo19Et3IIA4wC4sLGDVqlUlEelsUvBoNAqv14tUKrUogz0fVELSni9I9FxDQwMGBwcRCoXoTLrZbMbc3Bw+8pGPgGVZRKNRTE5Oqmq2Jooitm7diieffBIDAwO466670N/fD2BxTFmhm5q5uTn6N2azGeFwuKDvjtFoTJM7KucTSd69KIro6elJM6rTA0ixqqenp+TCQTbCHo/HiybsoijSm3y5UCPoNQCVl7inUinq3jw0NJTX8RgMhrLcq5XNBC2yzX0+Hy12dyXWvAAAIABJREFU661AXQyydXszySNRqkUiETQ2Nuqqg1oOEEO0jo4OVe6RSvVfZu69cs2VRZJKgaglXC5XVRajgPS4NmBpwk7+aW0Sx/N8xSN0K4kaQdcxiqmmRyIRuN1uGjEGfFghr3aQuWSTyVSwA/1yUN4MOjs7aaZqLBbD9PT0sjFeepG050I8Hsf09HTaefGJT3wCr7/+Oq2QnnHGGTAYDHTuLnN2e2FhIW8peDbce++9uOuuuwAAH3zwAU4//XS8+eabkCQJExMTaGxsLFo2ft555+GOO+5AIpGAyWTC5z//+ZI2R2Q+sbGxER6PByzLor29HQzD4IMPPgCAtHWo1Bw6+b4PDQ1p4gxssVgWRfwpCbtSiZBJ2DmOw/j4OFwul+rHtRTIZ1VDDWqgUIIuyzLC4TACgQBcLldBxSIicdcapBAgy7KqknaSc93W1lZwCk41IRt5DAaD8Pv9sFgsiEajdM9QX19/wHfRw+EwQqGQpoZo2XLvCWH3er0QBAE2my2tw641SMOIZdkDTi2xFGEn1w7SuCDXEC3I+koqcmXiwDmbDkCYTKa8NwaSJGF2dhYcxy0yglM7U31qaoqSl3JckILBIF5++WV4vV6sXbsWBx98sOavqcxU7erqWhTjRVzBnU4n7HY7ZmZmUFdXpztJ+1JO6I8//jiuvvpqvPvuuzj11FOxcePGRX+/nBRcluW8iepvf/tbSJIEm80Gq9UKn8+HqakpJJPJtMJBMbjyyivR1taGP/zhDzjssMOwfv36op+LQDlvTvwbCFEVRZGug9frBYA0oqo1YZdlGXNzc4hGo0UpDopFvoTdbDZjYWEBg4ODZXdhZRim1kGvQTUUcv8UBAEejwcmkwnDw8MF3wvKYTRLNtPRaFS1axUhqLFYrCyu1XoCGSdMJpMYHh6G2WyGJElIJpM0E1ySJLqfqK+v152xaLGQJImOhJVbLZGLsDMMQwm73W6na642YZckCV6vF2azuWA5fzVCSdhFUaSRx0rVT2aHvZTzoZKJUXpBjaBrALWME4xGY16mcyzLYmpqCu3t7VkvFGpeOEZHRxeZaxFiokUnkWEYbN++HeFwGG1tbXjyySfR3d1NJbjlQrYYr3g8jmAwiImJCVgsljSHeD3cgEVRxOTkJKxWa1Yn9ObmZvzwhz8s6DmzScFzEVWHw5H2mocccgj++te/0nm+uro6xONxrFmzpmTFgcFgwEUXXYSLLrqopOchIPPmuUYVTCZTmqGQMjHA7XbDaDSmFS7U3LhIkkSVJKOjoxXdGGQj7D6fDwsLC7BYLNTBmHx3yrGBqxH0GoDyS9xJ0bKzs7PoGVStJe7EEKqtrQ3RaBSBQAAmk4nKhDNjOPMBKUrYbDYMDg4e8ERFCZ7n4fF40NDQkLb3MhqNlBgCoLGfLMsiEAgAQBph11NRP18Qh3qn04mWlpaKf+5Kwg6AqiCJQaMoirDb7aqoGsh7V5oQrxRwHAe3271o1j6zww6oQ9grfV5VEjWCrjLIzVwNgrbcxkApqy51HruQY1J2VJUEzePx0N87nc60KLNiwLIsdu7cib/+9a84+uij0dvbi+npaczOzpadoGfCYDAgkUggmUzi4IMPhtlsXkTQckl/ywGWZelcspaz8PkQVbIOV199Nfbs2YNXXnkFDocDd911Fz760Y/qbnNC8s0LkY1nJgYstQ6lnA9ENt7W1oaOjo6inkMrKONlPvrRj8JkMkEQBMRiMYTD4bR10JKwr3RjmRo+hBrGrUajkWaCZwPpIqZSKQwODpbUqdNK4p5pBEcIObCfbLAsi1AohGQyCYvFQseclnMrJ1FanZ2dKy6vmLz3fHLdScFWmcHOsix1LCeEnhRJ9HZPzATDMJibm9O1Q71SBdne3p5V1aDssOdL2Ml7V8bHrRSwLAufz5f1veeSxCtHbEnD0Wg0LkvYBUHQRaOrkqgRdJVRLoLOcRympqZgt9srKqvOJGhLRZnZ7fa8CXs0GsW9996Lt99+GwzD4E9/+lOac2olIQgCJicn0yTtMzMzmJubw8jICPr7+ykxIXnTFouFErT6+npNq4J+vx8LCwsYHh7O27AkkUggEomgs7OzpHMpG1ElruAMw+C2224Dy7Lo6OhAb2+vrjYiynzz0dHRkirsS63DcrPbuUAMCPv7+3VnVCdJEiYnJ2GxWNJ8BMxmc1qHnayDlkqDGkGvQU0sdR9OJpO0k9bd3V3ydV0Lifty2eYWi4Xew7O5lWcz4iLNAZL1fCDN3i6HfGPEloLJZEprdAiCAJZl0zLYS1E1aAUyyhCPx6vuc8+maiAddiVhJx32zD28LMsIhUKIRqPo7++vqCldJRAOhxEOh/N+76US9pWegQ7UCLrqUHveO9tzhcNheDwe9PX16S7OYakos0QiAZvNluaMnnnjIW7eDMNgZmYGhx9+OFpbW/GPf/wDu3btwhVXXIGRkZFKvDUAH5qtKaO2nnnmGdx0000wGo2w2Wz40Y9+hNHR0TRiwnEcNVpjWRZWq5UWLtS6AUuShOnpaciyXJCJ3gsvvIBLLrkEgiBgZGQETz31VN7548tBSdAikQhmZ2fR09MDjuOwZ8+eshYulgIputjtdk3yzTOJajZ3dOU6ZH52gUAA8/PzujQg5Hke+/bto5GHS6EchL0mca9BTWS7DxNzqEgkgt7eXtWcm9WWuBeabZ7NrTzTiKuurg7JZBJOp3NFzN4qQeT8drtd1fduNpvTRsdyqRrq6+uz7pvKAVEU4fV6YbFYMDAwUPWfu9FopEoR4EPCzjAMAoEAZFmmhN5ut2NhYQGyLGNgYEBXjQWtQZRxJDaw2PdeKGGPx+Mr/j5eI+gqw2Qy5TU3ng8yNwbEmEEQhLIaQ5WCzCizZDKJWCxGDe3q6+spUSVduKamJoyNjaGzsxORSASrVq0CABx++OE49dRTVT/GQCCAmZkZuFwudHZ2Zn1MLpd2SZLwve99D06nEzabDQsLC7jnnnuwY8eOtL+3Wq1oa2ujZiakcOH1epFIJGikm9PpXFZWmA3JZJLmwre1teX996lUChdffDEkSYLVasV7772HG264YdHxlwJZluHz+RCLxTA2NpZWfc1WuCBEtRDFRSkgMWXd3d1li8bLNrutVJ6YzWZKUsPhMDiOw9jYmO4kX2SUotiufjbCnmuWPx9vh2QyiYmJiRV/Y69hP9SSuCvvwzzPY3Z2Fna7HUNDQ6pu1tWSuGd2zYs9xkwjrnA4DL/fj/r6ejAMQz1XqnmWOl8QaXM55PyZqgae5ylxTKVSsFqtdN2L2S8UimrK+C4W2Qg7y7KIx+PU+LGxsREsy8Jut+vuXqwFJEmCx+OB1WpFb2+vqufZcoR99+7diMfjqr1eNUL/DK/KoFUHnRjBdXR0FETAlFDLvK5YKG/2JMqMGM6R7PGmpibYbDZIkoQLL7wQ//Vf/0Vlveecc44qx+F2u/HBBx/QLvHll18OnudhMBhw66234thjj017fDZJO4EoiuA4jnbTLRbLshcVZURLR0cHLVxEo1HMzMzQwgUhqss54oZCIXi9XqxatapgYkLiYEgX32g0YmJioqDnWArKznQ2Q7PMwgXHcYhGo/D5fGmKC6fTqUnngKydVjFl+SJTeULWYWJiArIs0wp+pZUGSoTDYXi93oJGKZZDPrP8uQh7IBDA+vXrccEFF9QIeg2qQXkfjkQiWFhYQHd3tyYkTY39A9ngiqJIpaOlQhRFmtoxNDREv3dLzVKXq8CqNYiknWXZikibDQYDrFYrrFYrVTVwHEfXnIz+EXKp9vERM0GXy6U79ZaWMBqNMJlMYFkWfX19sNlstMPu9/sBVL/R31IotxGekrD/4Q9/wEMPPYTbbrtN89fVMwxyzcteVZDoATWqjERSI0kSwuEwVq1aVfRG+L333sPq1at1V/WTJAkzMzMQRRF9fX20wx6LxQAAdrsdFosFnZ2dqigGdu/ejS1btkAQBEiShFgsBrPZjNbWVsRiMdTV1eHJJ5+kj88mac/EHXfcgZ/97GcA9iso7rjjDqxdu7boY5RlGSzLIhaLIRqNQhAESkqU0XayLFMlwuDgYFHrI0kSTjrpJLzzzjt0M3fbbbfhggsuWPTYP//5z7jxxhshCAI2b96MU045ZcnnLtWoTqm4iMViSKVSsNlsVHFRSudAlmV4vV4wDIOhoSHdqVFIJ5h09YnSIBaLgWXZio4GKCPeSKxQuUAIeywWQzwex65du/D+++9jbGwMjz76KDZt2oRPfepTZTueGvQNnudLJrypVAo+nw8mkwmyLMPlcml2Hw2Hw+B5vmgDSELMAaiabe7z+dDa2rpsFKYgCGAYBizLIpFIwGKxUMJeKWl2KVA61Hd0dOjy+Ikij2EYMAyTFi/W0NBQ9PWZqAZ5nkdPT4/u9o5aIxKJIBgMore3N2uThBSnyD9iSkeKU9VM2BOJBLxeb9lNAGVZxiOPPII//elP2L59e9kUjXpFjaCrDK/XC5vNpsqJNTc3h4WFBbS0tMDlcpV0c3j//ffLvpleDkRaTGZXM98f2YxHo1EwDAOTyUTJWbGk5MYbb8S7776Ljo4O8DyPp59+GoceeigaGxuRSqWQSCTwwgsvUBJCJPZLVY4lScLvf/97zM7O4ogjjsDhhx9e8HEtBUmSqNIgFovRTNV4PI6Wlhb09PSUdG4Eg0HcfPPNmJiYwBe+8AV87WtfW/R84+PjOO6445BKpWAwGGA2m/Hb3/4Whx56aNbnJDPTQ0NDqnVXSWwKWYdClQYEoihiYmICdru95O+VFohGo5idnV1SEZFJ2MlogMPh0JSwE58Dg8GgiznEaDSKRx55BM8++ywAwOFw4KijjsLxxx+Po446qqLHVkPloQZBJ9/HpYq0aiEajSKZTOYctcqF5YzgioEy29zlchWVbU46vSzLIpVKUZNX4hCvZxDH6mpzqFfGizEMk+ZWnm8ErCAIcLvdaGhoKFqxWa1QFiZcLlfeRFupJkkkEmmmdNVE2GOxGPx+f87ChFbgeR7btm1DMpnEzTffvKLUGrmgH7Z2gEAtiXsoFML8/DwaGxvR29urm+NSA0Qy5vf7l4yHy5S7Zs4r19XVUXKWr9GayWSi6yDLMvr7+xEOhxGJRCBJEr75zW9SWbbNZsuaH54Jo9G4bDe5FGRG24XDYczMzKChoQHRaBSxWAwOh4NG2xV6I2htbcVdd9215GNef/11KrUG9neVXnvttUUEXZKkNJ8ENavuytiUrq6uNKXB1NQUeJ5HQ0MDXatsUr9KzJvnC7IxCIfDGB0dXVKqqBwNAD40Y5yfn0cikdBkll8QBIyPj6OpqQmdnZ262LT97ne/wx//+Ec88MAD6OjoQCQSwRtvvIHdu3fXCHoNJZ2j5PvIMAysVmvZZJ6F3qcLNYLLB6RzXFdXV1K2eaY0m3R65+bmwPO8arnUaoIYADIMU5Vu3dnixYg0OxgMUvMz0unNvEeTwkQ+8XEHGkRRhNvtht1uL3jmOpczP7kv6z1Kj5z3LMtiYGCgrIoJhmFw9dVX47DDDsOll16qu7WpFGoddJWxsLAAAEVL1ERRxMzMDCRJQnNzMxKJhCoEfXx8HC6XS7VuZrEQBAFTU1Mwm83o7+8v+ouoNFqLRqNIpVKLjNayYe/evbj22mvBcRwkScIll1yCrq4uvPvuuxgeHsbhhx9ODePKsSErBESWHY/HMTQ0RDcOxAk7FotRpYEywkuNDdtrr72Gz3/+83QDKIoi/ud//ietMMFxHCYmJtDc3FwRAqf0NIjFYhBFMY2wE7OXSs+bZ4OyM13K9wIAnVEk65BIJGgxy+FwFEXYE4kEJiYm0Nvbu6zMtRyQZRnbt2/H3r17sXXrVt19njXoA4IgFGXamkql4Ha70djYiLa2NoyPj2P16tUaHGE6GIZBJBKBy+Va9rGZ2eZqbWrLZYZGOr2kw06UYeRfJSTVgiDA6/Wirq5Ot5L2UkHMz8i6Kwk92VP19vZWXWGiVJDvfEdHhyYxpoSwkw67yWSixalK+zWQvaXBYFAlLrIQzM3NYePGjfj3f/93nHnmmQfkd65Y1Ai6yggGg+A4Dt3d3QX/Lck57urqQmtrK+LxOM0dLBWTk5Po7OysqHkSmecudiZ5KZCbPeko8zyfdW4b2F9EGR8fR3t7O41sK0TSXgkIgkDdqZeTZRNH8Gg0qqoz+l133YXvfe97AIBLL70U/+///T/6XLFYDDMzM7rK6CajAdFoFMFgEIIg0DlKh8Ohm44Nz/MYHx9HS0uLJptCZTErFoshmUwWpD4hEl+9FDZSqRSuueYadHZ24sorr1xxs5E15I9CCTrJOiazp+R837t3b1kIeiKRQCAQQF9f37LHqYWkfWFhAclkEj09PWUnaNmIo5LAaN1VI51jrQiaXiGKIuLxOPx+P0RRpIZzeiCO5QKRdZfTCI9E6RG/BrPZnNZhL9e6k3GGxsZGtLS0lPXz3rNnD66//npcd911OOaYY8r2utWCGkFXGeFwGCzL5lUBJyAxVNFoNI0csiyL+fl5GjNWCqanp9Ha2lqRWapKkN/MuW1ZltMIu/Jmr5S0qx0loQZIYaPY7qWSnOWTRb8UBEEAgDSjOiLLHhoa0t1coXLevKuri0rOiAmhMnO7EkSPGOn19fWVLb4mk7ArY/4cDkfa5oBECw4PD+uioxIMBrFhwwZ89rOfxbp16yp9ODXoHKIo0mvWciAbVYvFgu7u7rR7RLkIeiqVwvz8/JJFeS0k7RzHwePxwOFw6GbmOLPjaDabKXFUk8AoZ+1XYueY4zi43W60tLSgubl5kdGfVuuuB5BxS6JUrWSxlxB2hmGQTCbLsu5ENVAJn4VXXnkF9913H+666y4MDw+X9bWrBTWCrjJisRgikciyFXCCVCqFyclJNDY2LjL7SiaT8Hg8qpy8gUAAc3Nzabnj5bgR8TyPycnJvDq/WoJUiaPRKOLxOIxGI5xOJ8xmM+bn59Hb26uJpN3v9+Mvf/kLnE4njj/++IK6AMrs9aGhIVUKG9mc0e12e5ozer4QRZGOK/T19elubijTCT0T5Jwga6GM8HI4HJq/n2AwiLm5OQwPD1dUsZHLLZ/neZhMprRYpUpiYmICV1xxBS677DIcf/zxlT6cGqoA+RL0WCxGZd3ZCmXlIugcx8Hr9WJwcHDR77TomgP73aoDgQB6enp0oZDJBZIFzjCMalngoijSnGe9+GqUE8TTZ6nxR7LuLMsimUzCYrHQSLdyZLBrBZLxTVKC9PY+sq27mokIZJSl3KOvsizjsccew0svvYTt27dTH50aFqNG0FUGyUjMdoPNRDAYhM/nw8DAQNbqFcdxmJ6eVm1jkG1Gl3RSteggkuzicnYH8wXHcZidnaUxa3V1ddRhtrW1VZWL9ezsLM466yxEo1HIsox//dd/xY4dO/IifuUiv0qjNTIasJzRGvAh+e3s7NTlBTYcDhc8b545y6805yvGfC8XZFmGx+NBIpHQDflVgud57Nu3DyaTCQaDARzHwW630+JFJeKS/va3v+Hmm2/G7bffjoMOOqisr11D9WI5gi5JEnw+H3ieR29vb86xl71792JkZETz814QBMzMzGBoaCjt51p0zcl7l2UZ3d3dursOLQVlFjjDMOB5HjabjRL2fJoPJEpqpUnagfRxhkI6x7IspxVKSAY7IY4Wi0V3RDcbiGogn+hAPYCsO+mwp1IpWiipr68v+J4cCoVoI7HcMal33303IpEIbr31Vt2NkuoNNYKuMkhmaOYNVglRFDE9PQ0AS7olEtfksbExTY41WweRdFJLMRcjlclEIoFVq1bpTjJG5rmVTp1PPPEEfvzjH4PjOBx//PE477zzaJ59sReRrVu34r777kNHRwdkWUY4HMYzzzyD0dHRJf9ufn4eb7zxBg499FBVDAILAZkDJLP8kiSljQaYTCaEQiF4vd4lY8AqBTXzzcksPyHsZrO55Jg/vUe8pVIpjI+Pp6kOssXbEUl8qXn0+eCpp57CI488gh07dqCrq0uz16nhwIMkSeB5PuvvEokEPB4PWlpalp293LdvH4aGhjRX1UiShMnJSaqayzSCU4ucJ5NJeL1etLS0oKmpSXfXoUJBVECk4yiKYppDvHKPRXwGotFo0fFx1Qzi0G+327PG2xYCMi5FiCMplCgJu95AOsd6V4wsBWWhhEQYWq3WtAjDbJ8rUWUKgoCenp6yqh5ZlsW1116Lgw46CBs2bNCd4lKP0IdL0gEEZYxXNpB54u7ubrS2ti75XFpHo5lMJjQ1NdEKIiEkgUAA09PTsFqtaSQ1nwt5KpWiTt6rV6/W3Y0/2zz3xMQEfvKTn6Cvrw8mkwmvvvoqPv3pT8PhcGBmZobmbRc6GpBZ+zIYDIt+lonnnnsO69evp5nvjzzySFmklQRE5k0UHZIk0SKOz+cDx3EwGo3o7e2teCJAJgj5tdlsqpx7FosFra2t9HuaGfNXqPkeIb/EBFJvIEZ/mYWXbPF2hLArvx/KDrsakGUZO3fuxD//+U/8+Mc/XnGRPzVoAzJ3Go1G0dfXl9f5Su7FWm8qDQZDWgyoFkZwpHtWTkMsrWEwGGC32ynhUkaLBQIBAKCzvJFIBBaLBQMDAyuOJKitGjAYDLDZbLDZbGhtbU0rlHi9XgiCoJsoPXLux2IxDAwM6MYkthgYDIZFEYYcx4FlWSwsLIDjuEUjIKRxZrPZyt4cmJ+fx8aNG/HlL38ZX/ziF3XHC/SK6j1DdQqj0ZjVNZZ09mKxGEZGRvK6MSpv1uWAkpCQL3w0GoXb7c5rVplI9gcHB3W3mVYa1a1evTrt+EOhEIxGI/2ZyWQCy7Lo6uqihISMBiwsLGTtKmfDl7/8ZTz22GMIhUIAgLVr1+Yk25IkYWZmBps3b6YX1lAohC1btuCRRx5ReTXyB1FV2O12MAyDtrY2vPrqq9i5cyc6Ozvxb//2b2hra4PT6UR9fX3FNjxEcq8l+c2VPT43N5cWZZbNGZ2QWT1+N4D9Xgl+v3/RdyMblsqjn56eBs/zqK+vT+uwFwqO43DdddehqakJP/jBD6pKfluDfkGkrXa7vaCOuNbFcgJyzdAq29zr9cJisWBwcPCAJqdGo5HOSQP7i7fhcBg+n49+lsFgsOyO2ZVEOBxGKBRCX1+fZqqBzEKJMkovFApBkqScygYtQcY51Igx1SMMBgMd01QSdoZhsLCwgFQqBUEQ0NjYWHZJ/3vvvYfrr78emzdvxr/8y7+U9bWrHTWCrjKy3ciJEZzT6cTY2FjeNwM1jWAKBfnCd3R0UIk22YRPTk5CFEVKUhsaGuDxeCCKItasWaO7zTQxqrPb7VnXf2hoCPX19fB6vTCZTDCbzWlzrgaDgXaVe3p6aFc5Go3Si77D4YDT6UybVR4YGMCzzz6Lv/zlL2hsbMTatWuz3hiI6qClpQUMw9ALqM1mw/z8vIYrkx9I/F9vby9+//vfY8OGDbQINT4+ju3bt1PVhcViocSsWBl4oSDz5uWW3JMbYnt7e5ozutfrRTKZpG75pPM+OjqqO8mfLMu0ADc2NlbUxoXEITU0NKC7uzvtWjE1NUV9Dcj1YrnNYTgcxoYNG3DyySfjq1/9arFvrYYa0q4/4XAYfr8fPT09BRfJykXQZVmm1xKz2ax6tvlKnbeORCKIxWJYtWoVrFYrnecNhUIHlPFZNkiShLm5OciyXPbCjLKYS44lm7KB/NPi2Hieh9vtRlNTE5qbmw+ozzYXlITdbrfD4/Ggu7sboihibm4OPM+nxelpVbD53//9X+zcuRN33XVXWZWgBwpqM+gqQ5Zl7NmzBx/5yEdofMfc3FzRnbPdu3fj4IMP1uBISwMhqcFgEKFQCBaLBS0tLYtIaqVBOpfLRZRNTU3h8ccfB8dx+MIXvoCDDz4Yk5OT+Oc//4m2tjYcc8wxOS/sSnOxeDwOk8mEP/3pT3jrrbdwyCGH4MILL8wpByfkkpwfV155JZ588kmYTCaIoojNmzfjP/7jP1RZi0JBpKCBQIC6yJ9xxhnYtWsX7HY7ZFlGPB7H+++/TyXxhIxGo9Flu8pqHJ9a8+Zqg5DUmZkZ8DwPo9GY1lXWg7RUFEUaL6il5C3TnFIQhJxGhNPT07jsssvwne98B2vXrtXkeGpYOSAdPI/HAwBwuVxFFZBJDJWWBUDSNSeRXwDoTGmxOeDEDCyRSMDlcumuQKg1RFGkhfeurq6sa5jL+IwQ9mpeM72TU1EUaRY4y7L0Pkky2EvdRxJJf1dXly6Va1ojEokgGAyir68v7Twmowhk3dX2DpBlGb/4xS/w/PPP45577tGlkXA1oEbQNcC7776L0dFRTE9Pw2g0or+/v+iusl4JOiFvfr+fGsERYsYwDCwWC51fr4SETJktX0w+9zvvvIONGzeC4zjIsoyzzz4bl156aV5/+8ADD+Duu++GxWIBy7I4/vjjccstt6TN8pPOZTKZxODgIL0g8jyPhx56CO+++y6OO+44nHXWWRW5qUqSlGZkSG6UF1xwAX75y1+CZVkAgNPpxPz8fFZyrOwqR6NRJJNJ1UgqIZd1dXW6zK7neR4TExNoampCZ2cnACwyWitVBl4KOI7D+Pg4Ojo6yn7zJEaEZC1eeeUVvPvuuxgeHsazzz6LrVu36vKaV0P1QRAEvPfee2hvby8pRtPr9dK0Ey0giuIiIzhCXkgOuMlkoqQxH08Ynufh8XjQ0NCgm2zzcoIY4RXq1E3uW4Sw62mOuhDE43HMz89XlRmaIAhphN1sNlPSWOg+MhwOIxwOr8hse7I/TyaTeRUllYSdnPOFpiIQiKKI7du3Y2FhAbfffrvuvIqqCTWCrgHeeecdGI1G9PT0ZM1fLgR6JOiCIGBqagoWiyVnBFgmMSOuz06nU3Myokb2+vXXX4833ngDHR0dtAr/1FNP5dVBOeecc+Dz+eDuQ6zWAAAgAElEQVRwOKi87Pnnn6fxGHV1dUgkEpAkCdu2bcPbb7+Ngw46CHfeeWfZXduzgUju29raFrm8Pvzww7jwwgup2V1jYyP++Mc/4rDDDlv2ebO5gRdjvleOefNSwLIsJicnl1RtKGXg0Wh0ya6y2iAjC7niHcuNZDKJBx98EC+++CKsVis4jsPhhx+OE088saS8c57ncc0118DtdoPjOHzrW9/CSSedRH//0ksvYefOnTCbzTj77LNx7rnnqvF2atAZWJYteexqbm6OerCoiUKM4DJzwJfq8kajUfj9fnR3d+suaUNrkMSUcDisihGeco6aZVlIkkRJYyV9V3JBlmUEAgEwDLNkdGA1QBktlm8WOPEbEkWx7E7leoAkSfB6vTCbzUXnu2emIpAiFVn7XOdUIpHAddddh5GREXz3u9/V3bhrtaF6v7k6BMk35nkehxxyiCpElHRb9VL9Ji7oyxUfMudzCTEjM6lKkzU1byD5StqXg9Vqpfm5xL0334uNy+XC+Pg4HA4H4vE4Ojo60N3dDWC/5GhmZgaNjY245ppr8Oabb6KzsxN79uzB5s2b8fDDDxd9zGqAZNfnGsmIx+NoamqC2Wym67Fv3768CHo2czEiffb7/RBFMY2kZjsvKjVvni9CoRB8Ph+Gh4eXrBxnzm1LklTwWhQDMnKTr1Gl1pBlGQ899BDeeust/OQnP4HD4UAqlcJbb70Ft9td0nP/+te/RnNzM7Zu3YpQKISzzjqLEnSe53HrrbfiiSeegN1ux7p167B27Vp0dHSo8bZq0BHMZvOy6RnLQYsZ9EKN4CwWC5qbm9Hc3JzW5SVu2UQWHI/H6bzxStsgE3JiMBhUm7fONkdNSOPCwgKVZZNRhEru1URRhMfjQV1dHQYGBnSzbywWFoslLWmIOJUHAoGs0WLk/ZM9RrW//0IhCAJmZ2fR1NRUUnMwl9kfy7Jwu92QJIl22Imyx+/3Y+PGjfjiF7+Ic889d8WtvRaoEXSVkEwmMTk5iebmZtTV1anWASMbg0rfaJWS8UI395nETElG5ufnIcsyJSIOh6PoWTtyfPk4US+H8847D6+//jo1v/vmN7+Z93vetGkT9u3bR7suW7dupccXi8WwZs0aWCwWLCwsoLu7G2azGY2NjXjnnXewZ88eajhX7FoUA+XxLWVmdvTRR8NsNkOSJIiiCKvVmhc5z4Zs5nsMwyAajdLzQmlEuLCwgHg8jrGxMd11Bcj6xeNxjI6OFnx8RqORfgeA9Hi7+fl5mhxAzotCrwdkXp9lWYyNjVX8egLs32xdf/31sNlstJMN7C/uHXPMMSU//2mnnYZTTz2V/rfyPe/btw8DAwN043fkkUfi9ddfx2c+85mSX7eGAw9qEvTMbPNijRlJvFVbWxskSUIkEsHc3ByMRiPMZjMCgQDt8q6EzXKxkvZCkRlFSmTZkUgEPp8PZrO5oFEEtUDeP0lVORBBosVIkUrpVJ5MJiGKIpqamuB0OlfEOa9EMpmEx+PRZN5euYdvb2+HJElIJpOIx+O45pprEAwGkUqlcOaZZ+KUU05ZcWuvFfS1y61CEDnRwsICBgYG0NDQgEgkohqp1gNBJ/O0DQ0NBbnQ50ImGRFFEbFYDOFwGG63m2aAk3ivfGbtiKRdjeMDgFWrVuGBBx7A3r170draWpADZW9vL371q1/B7/ejpaUFJpMJ+/btg91ux+joKD2+Y489Fk899RSam5sRi8Xw6U9/GqOjo4jFYrSTbTKZ6Fo1NDRocuETBIGahSmPLxuOOuoo3Hfffbj99tthsVhw0003YWRkRJXjyHZexONxRCIRTExMwGg0oq2tDYlEQldGhMp5eDXy14EP4+3IRousBXGJB5B2Xix1fZAkCZOTk7BYLBgZGdHFzTMajWLDhg044YQTcP7552tyTGSTEo/HsX79elx22WX0d/F4PM3NuqGhAfF4XPVjqOHAQK741EKhVbZ5JBJBOBzG4OAg6urqIIoiLYLPzc1VjDSWCyRCrBLZ7mazOe1aTUYRlF1e5SiCFmtPzMAOpGz75aB0KjebzeA4Dp2dneB5njqVFztHXW0gEcC9vb1l+fyVZn6XXHIJduzYgYsuugherxfr169HIpHA5s2bcfTRR2t+LAcyagS9BJBZbLPZnNaVMplMqpFq4uZdqYsLIYp9fX2aVWVNJhOV7gEfOoGTfGkSV0VM1pRQS9KeDa2trfjEJz5R1N+azWZ0d3eDYRjs27cPLpdrkUnR1VdfDavVijfffBMnnHACNm7cuGgteJ6nsufp6WlYrVa6FmqY7yUSCUxOTqK7uztvSdRZZ52Fs846q6TXzQcmkwl1dXVgGAYDAwNwOp2IxWIIhUKYmZmhG6NyRrplgszra222ZjKZ0qR+giDQ4oXb7U4rbiiLFzzPY3x8HK2trbqRb8/MzOCyyy7Dt771LZx88smavpbX68Wll16Kr3zlKzjjjDPozx0OBxiGof/NMMyKi59aKSBjYqXAaDSC5/mSnkOWZTo2pRY5J/4oZrM5TdKtLHIDi0njgeJSTvKtAegm2z3bKALLsotI41KzvPmCzFsLgoCBgQFdKKPKCaUZmnKko62tLW2O2uPx0Ax2Qiz1psIrBiQpKh6PY2BgoKzvSZZlPPnkk3jmmWfwox/9iJrhAqCmljWUhppJXJGIRqOYnZ3NSrzGx8fhcrlUcS/0+XwIBoOUlBUjby0GkiTB4/EgkUhQl/ZKgFxkiZkWx3F0Npc4fZJs0+VANljleC8k3iYYDNKIMjWQSqUQjUYRi8WQSCSocVExruhkHnloaEiXTpuEfOaaNyeFnFgsBpZlVS9eLAfix6AHszVl1B/DMDCZTLDZbIhEImlS7kpj165d2LJlC26++WZ87GMf0/S1/H4/vvrVr2LLli345Cc/mfY7nufxuc99Dj//+c9RX1+PL3/5y/jhD3+Irq4uTY+phvKD5/mS5enke0W8RAqBFl1zYL/5nc/nQ3t7e0HF82wu5UrTs2rZWKdSKXg8HrS0tJTk0F9OKEkjwzCUNBaz9sSl3+FwoLW19YBTRSwH5bx9R0fHsu+fZLCTfSMx+yP/quW8JyBjdbIso6enp6yfvyiK2LlzJ2ZmZrBt27aqSQmoNtQIeoHIh7hOTk6is7NTNRMrMo9KiJlS/qpF55B0BVtaWop2gdQKRM43OzsLSZJgsVjSihe5ck4fe+wxPPbYYwCAr33ta5p2gEVRpMqKXC73akBpvheNRsHzfF5O4JIkYXZ2FoIg6NJISDkPPzw8nFdVmMyjZRYvlJFuap7HJGJweHi47BFp+cDv98Pr9aKhoYG635K1qJTa4IUXXsD999+P7du3lyWt4Oabb8Zzzz2H4eFh+rNzzjkHiUQCX/rSl6iLO4lRPO+88zQ/phrKDzUIOsMwiEQicLlcBf1doUZw+T6n3+8Hy7KqZJsT4kIcmwHQDm+lTc9ygUi6e3p6dFlczhfEcI78A5BmOJdr70CKMys135vjOLjd7pL8Bopdez1AFEW43W40NDSUvTiTTCaxZcsW9PX1UdVnDdqgRtALQCKRwNTU1LLEdWZmBi0tLZp11YjsORqNgmVZ1NXVUcJeaqc2GAzC5/PldPGuNIiknUjuyWxuNBpFPB6nM9vK4sU777yDq6++Gr29vZT8bdu2DaOjo6ofH5GMd3Z2lj1fmriiE5KazViM4zhMTEygublZd8UXQL1882zKCzVyx2VZxszMDERR1I2kUgkieYxGo2nFjVxqg8bGRs034bIs44EHHsBf//pXfP/7369JyWsoK9Qg6IlEAoFAAH19fXk9PtMITi1yTrqmxKxJi+8tmV8n+et6ml8nknZZltHd3X3AkQOy9izLUpmwMgccAJU0q1GcqUaQfHe1VKoEoihSd/5EIqErd34lSHGivb297PfSYDCIjRs34owzzsC6det0syYHKqp/CKMMIBVrv9+PwcHBZTvjahnK5ILFYkFraytaW1upXC0ajWJmZoZKwInsOd+ZFFEUMTMzA0mSsGbNGt3d+JRdVaVLe+ZsLileLCws0OLF3r17AeyfCzcYDDAajQgEAqoQ9Fgshm3btuGtt97C8PAw1q1bh4997GMVkfwoXdGBxcZikiSB53l0d3fnJQkrN9TMN1fGhHR2dqbljpOov0K/J4IgYHx8HE6nU5cRLpIkYXp6GgaDYZHZn9VqRVtbG53NI4Td5/Ol+Tw0NjaqOh7A8zxuuukmyLKM++67b0VuKGuoLNQybcyX5GslaSf3Na2zzTPn14lTdqXn14mkncx36+36qwZyeQeEQiEkEgmqGiTpLysJWs9bKw15gdzu/PX19WUZocsGhmEwNzenenEiH4yPj+Oaa67B5ZdfjhNPPLGsr71SUeugLwOe5zE1NQWr1Zq3XNnr9cJms5WUQ1gsMruoJMLM6XTmdL5mWRZTU1PU6EpvNz6lS7vL5cr7+Ejx4v3338emTZsoObdYLNi5c6cqMtstW7bg97//Pex2Oz744ANYLBacdtppuPbaa9HT01Py86sBWZYxPz+PUCiEtrY2WiVWjgdUukK83Ly52lBG/SnVBuQGnVmgSiQSmJiYyOo5oQeQ4kFTU1PByghlkS8WiyGZTKoyHhCLxfDd734Xxx57LC6++GLdXVdqWBkQBKHkgjnP8/T6tBS0kLRLkoT5+XnwPI+enp6KErPM+XVRFIueoS4EB4qkvVikUim43W40NTXBYDCAZVlwHAebzUa7vAdy8ZPk2xuNRnR3d1fkXkKKJSzL0rExct6XQ1kSDocRDofR29tb9s/6b3/7G+68807ccccdOOigg8r62isZNYK+BAhpKNQhfH5+HiaTqewS52wgEWZEAm6xWGjX0Gazwe/3IxgMYtWqVbq88WVK2ovFnj178Pjjj0MQBJx66qlob2+HKIolZUsDwOmnn45EIoFgMIi9e/fCaDSiv78fAwMDeOaZZyougV5qHj5zZpuMSmgxs50LxcybawGl2oDEbRGCKggCfD4fhoaGdGmGkkwmMT4+rlqSgdLbIBaLgeO4NDPCfMYDPB4P1q9fj0suuQSnnXZaycdUQw3FQg2CTq6jSj8DJbTqmpOucVNTE1paWnRX5NJ6fl2SJMzNzUEURfT09OhO2VcORKNR+P3+RV1TMsZFCu7E7I8Q9gNlrUhxjHwH9ABZltMIO1GWKIslan1XieEwx3FwuVxl3VPKsoynn34av/zlL7Fjx46iTDJrKB41gp4DgiBgenoa/f39BVer/H4/JElKix3QCwgpi0QiiEajsFgs6OrqQlNTk67MrmRZhtfrRTwez9ulvVAozffi8TgMBkOa2mC5C2w4HMbGjRvxzjvvwOv10tzz1atXw+/34+WXX65okYZIxvOZh19qZtvpdGpSsSXz5kSdoqfNJ3FFJ1F/9fX1lKBqlUdfDEiahJbFA+V4QCwWW9aM8B//+AeuvfZa3HjjjTj88MM1OaYaasgXoijSeLNiIcsyxsfHMTIykvV3WhjBkY5ZNXWNM+fXSZexoaEBVqu1oLXhOA4ejwdOp1OXxQmtQYhZKpWCy+ValnBnK5YoXcor3SwoBsQMT+uxjlKhjNNjGIbG6ZWqbpAkCW63O2+nejUhSRLuu+8+7N27F3feeacuPakOdNQIugYIBoPgOE631SYSD9Xd3Q2bzUa7qIIgLCnzLRd4nsfExAQcDkdZ4yMIKYtGo2AYJmdslyzLcLvdSCaTaG5uxh133IFf/epXCAQCOOigg5BMJmG1WvHKK69UTHYWDofh8XiKlowTUkbODVEU6cy2w+EoudNdSPGgEpAkCVNTUzCZTOjv718UY6ZUolRqPIDE+A0PD5f1PCNjNGQ9BEHAiy++iL6+PpjNZvz3f/83tm/fjv7+/rIdUw015IIaBB0A9u7di9WrV9P/1soIjmSbm0wmdHV1VSWxIiDz6wzDFCTJJl3jnp4eXaqWtIYgCNQMsNixQ2J6Rv4ZjUYqya70SFs+CIVCiEQiFZF0l4ps6gblKEg++yeiHGhpaSl7TGoqlcINN9yA9vZ2bN68ecX5HegFNYKuASKRCBiGKTiSRWsQOXE0GsXQ0NCirnS2jnK5u4akI1iqpF0NpFIpStjJXG59fT1CoRCamprSZqFYlsXGjRvx8ssvo6OjA9u3b8dhhx1W9mOWZTktBlCtCys5NwgpAz6UgOeKt8uFcs+bFwqO4zA+Po729na0t7dnfQw5N4grOjFZI0kKWrui68lJXpIkvPrqq3j00Ufx5ptvoqOjA0cddRSOPfZYHHPMMaqkWezatQvbtm3Dww8/nPbzBx98EE888QQ1FbzhhhtyypBrWJnQgqDrLdu8GpBJWrLNr5N5e0EQVqykPZFIwOv1orOzU9UkIEEQaLGkEjPU+YIkkZCxhkrf39QAGRsj6gZJkpb0biDnQCWUA6FQCBs3bsRpp52Gr371q7o5L1YiagRdA8RiMYTDYV11kDiOw+TkZEFd6WxxblqREKWkfWhoSHcVU+Lk7/F4aGFD6QJOLrCSJFXshiIIAiYmJtDQ0KC58oB4G5CZ7WzxdplQRoDp8TMGPlSXDAwM5L05yjRZS6VSi0zW1IIoihgfH4fD4aiYWU4mBEHALbfcgmQyiRtuuAGiKOLvf/87Xn31VYyMjODzn/98Sc9///3349e//jXsdjt+/vOfp/3uyiuvxAUXXICPfvSjJb1GDQcuSHpFqSAEXStJeyAQoPFZeho30wqZkmxZliEIAhobG9HZ2XlAELNCQMYaIpFIWc4Bom5QzlATwlip808QBLjdbjgcjrLne5cT2cYRCGEXBAGhUAi9vb1l/xympqawefNmrF+/HieddFJZX7uGxagRdA3AMAyNZNMDSMeyv7+/6NxEJQkhM8pkDtXpdJbUqa2UpD1fEGIZiUSo8oC4gBNSBmBZt3wtwTAMpqamVDMKKxQ8z9O1IDnbSjNCIhm3WCy6mzcnCAQCWFhYwPDwcEk3RqXJWjQaXXZmO1+kUimMj4+ju7tbN2Y58XgcV1xxBY444gh84xvf0ORzfeGFF7BmzRps2rRpEUH/zGc+g9HRUSwsLODEE0/EN77xDdVfv4bqhpoEfWhoSPWuOc/zNPlFj/GX5UAsFsP8/DyamprA83zJ8+vVBpLvDgDd3d1l3z9kuvMXI8kuFclkEh6PR3XlQDWAjCNkRhmScYRynA9vvPEGtm7diltvvRWHHHKI5q9Xw/KoEXQNQC40lZZaEoOJVCqFwcFBVTuW2eLclI7o+V5Q9CRpzwZBEDA5OQmbzYbe3t6cmwRBENLGA8oZYeb3++H3+zE0NKRqt7ZYkJu9UgIuCAKam5t12R0ingIcx2FwcFB1WWXmzDZJDyDjAflsfkhnf3BwUDdmLT6fD+vXr8f555+Pz33uc5q+1uzsLC6//PJFBP0HP/gBvvKVr8DhcODb3/421q1bh7Vr12p6LDVUF9Qg6MQkzuFwwOFwqKYgI9nmXV1duvlelxMkApQ4VCuvvdnm1wlp0aP6qlgQMzy9uZRnSrKJd4AWhnPRaBSBQKAiXWM9gBRojEYjurq60vwDEokE9Q9oaGhQPYNdlmU8++yzeOyxx3DPPfdoEg+ca0TtpZdews6dO2E2m3H22Wfj3HPPVf21qxm1yX8NYDQaqXFMpZBMJjE5OYmWlhZNOpYGg4FuVoAPJc/hcBhutxtms3lJgqqUtI+Ojuryhku60vlkX5vNZjQ3N9PHEbd84gJus9nSIszUgCRJmJ6ehizLGBsb040k0GAwwGazwWazwWq1IpFIUKO1qakp2lEm61FJAxIyFuBwODA0NKRJIUX5Xenp6Umb5yddE1LcyhaPQzr7q1ev1s3mZffu3bj66quxZcsWHHnkkRU5BlmWcf7551NV0AknnIDdu3fXCHoNaSj1Oy2KIiRJgsvlouo4JWFsaGgo+BqmzDYfGBhYkSZMxASLSNozPyer1Qqr1YqWlhY6v84wDDwez7IzvNWCeDyO+fl53ZnhGQwG6v4O7D9fiXfAwsICDAaDKnF6Sqf6gYGBqv0cSwGR9Tc2NlIvFbPZDKfTSZtWPM+DZVmEQiEkk0mYzWa6/qUUCyVJwv3334/du3fjoYce0kS5oBxRU4Lnedx666144oknYLfbaXG9o6ND9WOoVqy8u0IZYDKZkEgkMD8/XxbTqEwEAgHMzc2VtdtmMpnyIqhOpxMGg4GSotHRUd1J18i8eSAQwMjISFGE2mq1UpMxsrmIRqOYmZmh4wGlENRUKoWJiQm0tbWhvb1dl2tI5s3HxsZoAaarq4uOBxBZoyRJaYZz5bpJEyf5ckvGjUZj2s2XFLfIKIrRaKTrEYlEkEqlMDo6qpvNyx/+8Afcc8892LFjR0XHeOLxOE4//XQ8++yzqK+vx6uvvoqzzz67YsdTw4GFTCO4XITR7XZDkqQ0wrJUsTSVSsHr9cLpdKKrq0t31+5ygCgH8jXBMhgMsNvtsNvtaG9vp4SRZVn4/X4YjUba4a0Gh3Kyx0gkElVRoDEajWkNGUEQwLIsIpEIfD5fUYRRFEV4PB7YbDbdjr1pjVQqBbfbvays32KxoKmpiY4vchyXJom3Wq30/M93HITjONx0001obGzED3/4Q83OwYGBAdxzzz3YtGlT2s/37duHgYEB+p6OPPJIvP766/jMZz6jyXFUI/R9VahSmEwmjI2NIRqNUok5yVEudV57KYiiiJmZGciyjDVr1lR0Q59JUBOJBKLRKPbt24dEIkHNxCRJ0g3xAPav4fT0NIxGo2pdaeXmoqurK208YH5+vuDxADIWUIiRWTkhiiKdN89WgFESUPJ40lH2eDz09/nm0RcDPTnJZxa3yDz/5OQk7RQtLCygsbExpwFfufDwww/jd7/7HX784x8vqyrRCk8//TRYlsWXvvQlfPe738XXvvY1WK1WfPKTn8QJJ5xQkWOq4cDCckZwmYSRSFJJ0dFkMi0iLLIsIxKJIBQKVVW2uZogknbSMS12L7QcYdTz/DohpnV1dejv79fVseWLbB1ehmHSCCNZf4vFsug9plIpeDwetLW16XK0sRwg6one3t6Cm0CkWNjc3AxZlilhX1hYAMdxyxr+RSIRbNq0CWvXrsWFF16o6Tl46qmnYnZ2dtHP4/F4midWQ0MD4vG4ZsdRjajNoJcB2ea11TYUY1kWU1NT6Ozs1KX7pVLSPjg4mDajbDAYNCdk+SCRSGBycrLs2dyEoJL5dZPJRLvrSkJGYvJisZhuXdCJkVkpa5iZR69m5jjZIBLDPz2uIYl56+joQFtbGziOS5vnzzTgK8f3RRRF3HbbbYhEIrj55pt1I7WvoYZ8kEql8npcZrZ5sfdmQlgYhqGmTxzHwWKxwOVy6WYcqZzgeR4ejwcNDQ1FZ3vnA1mW09a/1HEENUH8iTo6Ooo27NU7CGEk68/zfJp/QCqVwvz8PFwu14osUgFAMBhELBZDb2+v6uej0vCPZVm6/hMTExgaGoIoirjqqqtw6aWX4pRTTlH1tXMhm4fMnj17cOedd+L+++8HAHzve9/Dxz/+cZx22mllOaZqQK2DXgbkmtcOhUKYmZmhG+5i5PBkhicYDGJoaEiXFzxlxBvpqNbV1dHKqSAI1CRkenq6pPUoFsFgEHNzc1i1alXZZ8FMJlOafIl0UBcWFmi8ncPhQDgcRn19vS7HAoAPO/uljlaYzWa0tLRQ2Tkp5ijHJZQRZvmuBZnZNxgMWL16tS43ycT3QKmOsFqtaGtrQ1tbW5oBn9frRSKRoJFuTqdTk24RwzC48sorccghh+Caa67R5blXQw1LgXSwl4Ka2eYWi4WqYliWpVJeoi7S0nBLjyDdwnLkOuczjlCJ9Q+HwzQ+Sw9mrlqB7O/q6urQ2tqatv5TU1MQRRGNjY3geR4Wi0VXCkqtQUb/JElCf3+/Juee0gOI7BmSySRefPFF3HfffZidncUxxxwDURQRDAbp3Hu5MTIygqmpKbqvff3113HxxRdX5Fj0iloHXQdQxpcVIocnDuNWqxV9fX26vNET0pZvxJuSgGSuRykRVbkgSRJmZ2chCIImDt6lgsgip6enYbFYIMuyputR7DGWK9+c3GzI+cFxXF7rwfM8xsfH0draqlsTklAoBJ/Ph+Hh4bw3cMpIt1gsRteDFDBK7XTPzc1hw4YNWLduHc4888ySnquGGioFjuOWJOhaZZuTTpkyvYLMT8fjcSQSiaxy+AMFpIGQTCbhcrl0MWutNDxjWVbz+XVJkigp6+np0eU+TWtIkgSv1wuTyYSOjg5K2EkGuHL9D9T1EUURbrcb9fX1mipIskGWZbzwwgv46U9/im3btsHv9+P//u//8Nprr+Hkk0/G+eefr+nrKzvoyhE14uIuyzLOPvtsnHfeeZoeR7WhRtB1hnzl8LFYDDMzM3k5jFcCsizD4/GAZVmsWrWqaNKmjKiKRqPUUKzQOLdsIEZrhLTpcWOU2dmXZRksy9Lzg0R2kfUod4GBdITMZnNF5ulyrQchqCaTiVbu8y0SlRtkdCEej2N4eLikzzBzPQRBSFuPQjbIe/bswVVXXYXrrrsORx99dNHHVEMNlUYugq5m11wJQRBo13y5e0s2ObxyfrdaQSTt9fX1ujQyJSDz6/F4HMlkUtX5deJU73Q60dLSots10BJkDZQ+K0oQ/waGYWjBihD2co1waQ2O4+B2uysycy9JEh588EG89dZbuPvuu1fszH81okbQdQ4ih1fmawP7byqFdNrKCSJpb2xsRHd3t6oX2Fzz2oXmjROTsHIbrRECtVylWJZlzM7OguM4rFq1KidpUxqsxWIx6hDe2Nio+Tw/KXAQM0A9QBlhRgiqKIro6+tDS0uL7qrzkiTRAocWTrZKx/xYLJa3Y/4rr7yC73//+7jzzjsxNDSk6jHVUEO5wfP8ouhTLbrmwIdy7uWcmbOBKMji8TgYhsSt8ToAACAASURBVKmYHLtUMAyDubm5qst3V3N+naxBOWT9egXLsvD5fAXFyJFIMYZhVC+YVALFrIFa4DgOt956KywWC66//vqqLvitRNQIehWBmEeZzWYYDIayucMXAkJ8y9WtJAZa0Wh0UZxbNnmvsrM/NDRU1jXz+/345je/iXfffRdtbW247777cPDBBy96HJFjNzU1FRzDw/M8JWMMw2hmKKbWvLlWUH7Ora2tdMOVy4CvEqiE7F5Z0InH49Qfw2q1wuFwwG6349FHH8Wzzz6L7du3V2w+rYYa1ISSoGcawakpaScO5WrJuTPl2HqXwyvjw/QiaS8FyvnpfAsmZLQhHo/D5XKtWFIUCoUQiUTQ29tbkoIys2BSTQqTSCSCYDCIvr6+sh9rNBrFVVddheOOOw4XX3xx1RT3avgQNYJeJQiHw/B4PGnEVylnjUajmrjD5wu1JO2lHgPJG49Go+B5nsq/GxsbIUkSJiYmNOns54PLL78czz//PDo6OhCNRtHS0oKXXnop7THxeBzT09OqFDiIm6rS38But9P1KGY+uZzz5sVCFEVMTEzAbrfD5XKlfc6Zjuh1dXW0o1xOOV0ikcDExAT6+voqKjkjjvkvvvgiHnroIRiNRhiNRvznf/4njjjiCFU32Lt27cK2bdvw8MMPp/2czKGZzWacffbZOPfcc1V7zRpqAD4k6FpJ2jmOg8fjQWNjo6YpKnqWwxNZP4me01vxQA1km18n62+z2eistcViQWdn5wG5BsuBjGzJsozu7m5V96FKh3KGYSAIAux2Oy2Y6KUgRLwXUqkUent7y06O3W43Nm3ahK9//es47bTTVuR5eCCgRtB1DkmSaJb6qlWrlrwAZZPDk26yluRDS0l7KSDy3mg0inA4DI7j0Nz8/9m77/CoyrR/4N9JmbQJhFSSkECCCUF6IGUyw4roLor6gksTVBQbq7IgYgCVVwSzNEXaggK6qKwuzXXVXVbXtZDMBAIhgtQgIQmk92R6O+f3B79z3gkppMzMOUnuz3V5XZqRnIdpz7mf537uOwAhISGCtHObPn06SktL4efnx++2nDt3Dh4eHvwXen19PWJiYpzSxsq+H31TUxNsNhv8/Pz4gP12Z58ZhkFRUZFg5807gmvzFhYWdtvd39YKEt5aEd0ZuMW22NhY0XRdMBgMSE9PR2RkJEaMGIGcnBycP38eQ4YMwdatW7v9Wu/duxdfffUVfHx8mrVasVgsmDp1Ko4cOQIfHx/MnTsX77//vmgL+ZGeyWKxwGazOSWlvbGxEbW1tS5PYb01WLHZbIKlw3Pp3F1J6+/JrFYr//wbDAZYrVb4+/sjKCioR6Zjd5fVakVpaSn8/f1dcuaeu6fhXgOuiK6QR0IYhkFZWZlgizS//PIL/vSnP+Gtt97C2LFjXXpt4ljiWG4SKS5dLSoqSpDrG41GFBUVITAwsEPnU93d3ZsV4uCqw5eVlTktHd7VKe2d4ebmBplMBp1OBw8PD8TExMBkMrVo5+aq3dN77rkHu3btAsMwMBgMkMvl8PDwgM1mw/Xr1+Hu7o64uDinTSoSiQS+vr7w9fXFwIEDm53XrqioAIBm59ftxyHG8+a34tLuhwwZ0qEzf/btSEJCQpotYBQXF/MZGF0psNYa+x7s8fHxolntr66uxuLFizFr1iz8/ve/BwD8z//8D4CbiwmO+FxER0djx44dWL58ebOfFxQUIDo6mm8xOH78eOTm5uL+++/v9jUJ4Vy8eBHh4eEOzSxjGIbfKRSiA8it7ZTsd3erq6tb7O46Y35jWRa1tbXQ6XSIiooSfBff1Tw8PNC/f39IJBIYjUZERkbCbDajurpaVP3XXcFgMKC8vNyldQfs72lCQkJgs9n4gJ37DDizQv+tblcQz5lYlsX333+Pjz76CLt27RIsbiGO07u/MbqppKQEu3fvRlVVFRITE6FQKJCcnOySFeLa2lpUVVVh8ODBXS4w4uXlhZCQED744NLhCwoKup0Ob5/SHhcXJ8qJmWtD5+Xlhfj4eP7L3L6/dmsLGM5qX/b888/Dw8MDmZmZiI+Px7Jly2A0GlFYWIjQ0FAEBQU5/Jrt4QrK2fej12g0qK+vx40bN/gMDDc3N1RVVWHIkCGiPW/OZR90573Y2gIGV2CtqqoKLMvyAXtnK+YzDIMbN24AgKh6sP/6669IT0/HihUrIJfLWzzuqJuMKVOmoKSkpMXPtVpts4U9Pz8/aLVah1yTEI5KpcL3338PX19fpKamIjU1FcOGDetyUG0wGFBRUYHAwEB+cUlo3II0d3/C7e7W19fDaDQ6PB3evlJ9dHR0n9stBv5v0dVsNjdbpLm1/7eQ/dddwf6stbMyzzrC3d29xWdAr9ejsbERFRUV8PDwcFoNB6PRiLKyMkEKIzIMg/379yMnJwf79u0TzXcS6R5Kce8As9mMvLw8qFQqnDx5El5eXlAoFFAqlbjzzjsd+kXL7aYCN3ednLUq3510eLPZjMLCQvTr109UKe329Ho9ioqKEB4ezgfk7WmtXRe3c+rv7++UyZRLde7ojq+rcROORqOBh4cHf37dmenfncUFvizLIjo62qk3Pbd2EHBzc2u2yNXW58BqtfJF/8R0LjE7OxubNm3C5s2bMXToUKdfz74XKufy5cvYvHkz9u7dCwBYt24dEhMTcd999zl9PKRv4epnqNVqqFQqXLlyBXFxcUhNTYVcLu/Quem2epuLXWvp8NzZ3a4s0HOVqftaSrs9Lp3bz8+vQ32tb3d+XSzzQmdwCxQWiwURERGiX3Qwm838a8DVcOAWTbrzWdZoNKipqUFkZKTLvxMsFgs2btwIhmGwdu3aHvOdRG6PAvQuqKmpQXZ2NlQqFS5duoT4+HgoFAooFAqEhYV1+ffq9XoUFxcLspvK7SZzZ3Hb2k0Wc0o78H9VZGtrazFkyJAun/Ftq52bI6p/C1lJvqO49l/u7u788QqDwcAv6jg6/bsruCroAQEBggS+rVXM554PLp2Oy5AIDw93ecpbew4fPox//OMf2L59u8u+a1oL0C0WCx544AEcOnQIvr6+eOSRR/Dee+9163uUkI6w2Wy4ePEiVCoV1Go19Ho9EhMTkZaWhrFjx7aYO6xWK8rLyyGVShESEiL6YKQ93DErLmDvaLBon9LelyuUcwsU3dkttT+/bjQaIZVKm2U4iD1gt9lsKC0t7bFFAblFKy5gt1gsnT6SwC3Y6XQ6REZGuvyYi0ajwcqVK5GcnIyFCxf26O8k0hIF6N3Esizy8/P5Sb6pqQnJyclQKBSYMGFChwJEbhWyvr6+W0Glo7RWHV4mk8FsNsNqtYq2ejcXVEokEofvplosFv754Nq5cbunnelFb7VaUVhYCD8/P4SHh4tyUuvIefNb+2tzRya49G9nTxRchoTQVdDt2RecMxqNcHd3h8lkQnR0tGiCc4ZhsGXLFly/fh0bN2506XeNfYD+9ddfQ6/XY86cOXwVd5ZlMWPGDDz66KMuGxMhHK1Wi5ycHKhUKuTl5SEoKAgpKSlIS0vDjRs3kJWVhaVLl/bKHeO2gkWZTMbP9fYLFGLKBHIllmVRX1+PpqambrUPa+33ms1m/jXoSrDoSiaTCaWlpQgJCRHlRk1XcDVouICdO5LA/XNr8M2yLMrLyyGRSATJJC0vL0d6ejoWLFiABx98sE9+Hns7CtAdzGAw4OTJk1Cr1cjNzcWAAQOgVCqhUCgQFxfX4kNkf05aiHYMHWEwGHDt2jW4u7uDYRiXVYfvDG6nMiQkxOlFzNpq53a73WSdTofi4mJERkaK9oxQV/ubc0cmuP7aXMZBv379HF6cpb6+HhUVFYiJiRF8MastVVVVqKmpQUBAAPR6Pcxms9NrHNyO0WjEihUrEB0djaVLl4ryu4YQMWBZFjdu3MCxY8fw17/+FVarFYmJiZDL5UhNTeULg/VGXLCo1Wr5VlZSqRQGgwGhoaGinbucjWuh5ubmhrCwMKd+f3al/7qraDQaVFdXIzIyslObEz0NdySB+wdAs3T4srIyyGQyp7ZVbMuFCxewdu1arF69GhMmTHDptYnrUIDuZOXl5fzuekFBAUaOHAmlUgm5XI5ffvkFOTk5WLhwoWh22G7VWkr7rTuFQgcedXV1qKys7FZBve6wb+em0WgAoEUBvpqaGtTU1CAmJkaUkxqXxdHQ0IDY2Nhuv45cv3Eu48DLy6vZ+fWuTGjcijV3NMDV6WQdwbIsSkpKYLFYMGTIEP5GimXZZhkHNput2aKOs/8utbW1WLx4MaZNm0Z9xgnpgNLSUqSnp2PSpEl44okncP78eWRlZeH48eNgGAbJyclITU3FqFGjeu25Ty6lvbGxEb6+vjAajb3i7HRnmc1mlJaWYsCAAYLcq4nh/Dr3XtDr9YKkcwvNZrM1m8OlUin69+8PX19fl34OfvrpJ+zZswdbt27FkCFDXHJNIgwK0F3IZrPhwoULyMzMxOeffw4PDw/ce++9mDx5MsaMGSOqSZ5lWZSWlsJgMGDIkCFtBmxtpcP369fP6anOXI94s9mMIUOGiGbC4KqhNzU18TsQnp6eiI6O7vb5dWe49by5o18zbjeAe07MZjP8/Pz44LQjiwE2m61ZponYnkPg5hi54wu3S3njWtxxNQ4kEgn/uXFkKyjgZiuzZcuWIT09HQqFwmG/l5DeTKVSQSaTteglzLIsGhsb+To0v/zyCyIjI/lic1FRUaL8fuosm82GsrKyFint7Z2dFtM9jKNwO8au7nPfHlefXxe6t7dY6HQ6VFZWIiIiAu7u7vyCCfca2O+wO/o5YlkWn332GbKysrBt27YOFT/uKIZh8OabbyI/Px9SqRQZGRkYPHgw//i+fftw5MgRBAYGAgDWrFmD2NhYh12ftI4CdBerqKjA8uXLkZycjMceewy5ubnIysrCmTNnEBERAaVSCaVSKWjbEq5Ke//+/REWFtapcXSnOnxXxihUgbCOMJvNuHbtGvr16wdPT09oNBoYjcZm1dCFPssvRH9z+93kpqYmMAzTbsV8k8mEa9euCVI8saO4MYaFhfGTWGdwizrcEQEPDw+HFCU8ceIE1q9fj7fffhvx8fFd+h2EkLYxDIPCwkJkZWVBrVajoqICY8aMgVwuR1JSUo88s871tA4ODm63xkdrZ6ftU7HFsmjeFVz7TqPRiIiICNGdA+e09hpwFfp9fX27PW4ue0BMLQWFUF9fj8bGRgwaNKjFc2r/GnBH2ry9vfnPQnfv8ywWC9555x0YjUZkZGQ4PAvzP//5D3744Qds2LABZ86cwe7du/Hee+/xj7/yyit48sknMXLkSIdel7SPAnQX++c//4mwsDAkJSW1eKy4uJhPhy8tLcXYsWOhVCqRmprqskIcXEp7dHS0Q24snJEO7+gxOgN3lvvWMbbWzs0+48CVNzQajQY3btwQ/HlsrWI+d0TAZrN16Uy8K2m1Wly/ft2hY2ztiIB9UcKOBOx///vfcejQIezYsQMhISEOGRchpH0mkwmnT5/m27J6enryu+vDhw8XddBqXwStK23k7KvDc+d2uZ1dR9cicSaux3tPrFDOFTvjXoPunF/ndozFlD3gatzxP6vVivDw8A49f/Y1BPR6Pd/WkHsdOvMdoNPp8Oqrr2LMmDF48cUXnZKVun79eowePRoPPPAAAGDixInIysriH7///vsRFxeH6upqTJo0CQsXLnT4GEhLFKCLlMViwdmzZ5GVlYWcnBy4u7sjLS0NSqUSI0eOdPgkb5/S7qzWX7emw3M7px1Nh+fOIOt0unbT7oXE9dptamrqULV7hmH4nVONRtMsOHVWOryjz5s7Gte+rKqqCgaDATKZDP379+9UcOoqtbW1qK6uRmxsrNPSO7l2MNyijslk4rMw/P39W1yXZVls27YNV69exdtvv91nb6wIERp3blelUvFtWWNiYiCXy5GWliaq7C+bzYby8nJ4eHggNDTUIYGA1WqFXq+HVqvtMenwXPZAb6lQztXI4YqddeT8OrdQo9FoEBkZKdrsAWfjjnl4e3t3a6GmtYUr+wrxbX3WKisrkZ6ejsceewzTpk1z2nfF66+/jt/97ne46667AACTJk3Cf//7X/51//Of/4x58+ZBJpNh0aJFmDt3Lu6++26njIX8HwrQe4i6ujqcOHECWVlZOH/+PGJjY/l0+PDw8G797u6ktHeHfTq8Tqfj03pbS4e3WCwoKioSdXsyR5yT5tq5aTQa6PX6ZsXVHJHWxJ03d3NzQ1RUlCgreXMVlG02G6Kjo/mAvampCSaTCb6+vvwihlCLC1wve6PR6PL6B9xCF/ecWK1W1NTUoLa2FnK5HG+//TZCQ0PxyiuviHq3jpC+hmEY5OfnIzMzE9nZ2WhsbMS4ceMgl8sxfvx4wRbTOprS3h3tpWJ3dlfRWRoaGlBfX4/IyEjRLiB0l8Vi4QvOtbZowjAMKioqAAADBw4U5T2CK1gsFpSUlDgltd9ms/GvgcFg4BdNfH19IZVK4eHhgcuXL2P16tVYtWoVUlJSHHr9W61fvx5jxozB1KlTAQC/+c1vkJmZCeDm51ar1fKLVZ9++ikaGhrw4osvOnVMhAL0HollWVy9ehVqtRpZWVmor6/H+PHjoVQqkZSU1KlK5g0NDSgrKxM8zRm4uVDA7a7bp8O7ubmhrKxM1O3JDAYDioqKMHDgQIcV72iruBq3c9rZVW3uTHxQUJBoU56tVit/br+1xaJbg1NXV0MHxFewjmEY/Prrr/jss8+gVqvBMAzuv/9+h970UxEZQhxPp9Ph1KlTUKlUOH36NPz9/fl0+Li4OKcHR9xOaWNjo8uDUi4VW6vVCp4OzzAMKisrwTBMh9OYe4NbF03MZjM/p4aGhvbZnXNuwWrgwIEu6QzEFf07d+4c3nnnHQQEBKCiogKrV6/G5MmTnf5Z+Pbbb/Hjjz/yZ9D//Oc/44MPPgBw8yjkgw8+iKNHj8LX1xdLlizBjBkz+N124jwUoPcCJpMJubm5UKlUOHXqFGQyGRQKBZRKJRISEtpMYSotLeV3AMX2RcwVEuNS2qVSKb+T7Ozq8J3FtXkbMmSIU3dAuJVMLh2eZdkW7dzaIpbz5u0xGAwoLCzs1EJMa9XQ7Z8TR09s3CKHK4vqdURhYSFefvllvPTSSxg/fjxOnTqF7OxsXL58GR988EG3sy+oiAwhzsUd4eKKzRUUFCAhIYEP2AcMGODQ7zObzYaKigqX9PXu6Hi4QNFgMMDT0xN+fn6QyWROqUzOsVgsKC0tRb9+/Rz+HPckBoMBZWVlGDBgAL/DyzBMs0UTod8jrtDU1ITa2lpBsihYlsXBgwdx7Ngx3HXXXfjll19QUFCA+Ph4vPbaa04rksstwF+5cgUsy2LdunW4ePEi9Ho95syZg3/84x/Yv38/pFIp5HI5Fi9e7JRxkOYoQO+FKisr+RYwV65cQUJCApRKJRQKBYKDg1FUVIQTJ05g0qRJLk1p7wxul1IqlSIyMpIPTrlArL10eFfhel4L1eatIxXzuUq09fX1iImJEW3aXkNDA8rLy7u9yHFrizupVMoH7N19n+h0OhQXFyMqKkpUZxNzc3Px1ltvYePGjUhISHDKNaiIDCGuZbVa+basx48fh8lkQlJSElJTUzF27NhufZcbjUaUl5eLtjI3y7KwWCzQarVOTYfniqC5aqdUrNpK7b81Fdvd3Z0vdCbUfZezsCyLmpoavmq/q+/nrFYrtmzZgoaGBmzYsIFfVGcYBgUFBRg8eLBo79+Ic1CA3ssxDINLly7x1eGrq6thNpvx9NNPY+bMmaL8wOv1ehQXF7ebLn5rOryrW5dZLBYUFha2mYothFsr5nt7e8NsNkMqlWLIkCGiXP1mWRYVFRXQarVOKU5463Pi4+PDB+ydee/X19ejoqICsbGxDm9x0h1fffUVPv30U2zfvh1hYWFOuw4VkSFEWE1NTThx4gRUKhXOnDmD0NBQfnd98ODBHa4u3dDQgIaGBkRERIjqu6w99pXJdTodgJtFtmQyWZfS4bnifTqdrk8XQeMKxlosFkRERNz2PXS78+s9FcMwzQokuvp+Tq/X4/XXX0dCQgKWLFkiyns14noUoPcRFosF7777Ln799VdMmzYNZ86cQV5eHkJCQvh0+NjYWMEDzZqaGlRXVyMmJgbe3t4d+jOttS7rTHX4zuLaag0aNMhpBXW6y2Qy4erVq/D29obNZhO0nVtbGIZBUVERPD09MWjQIKe/97ibPO59YrFYmj0nrd2k2S8gxMbGiuJ5A26Oa+fOnTh//jw2b97s9BZ0VESGEPFgWZZvy6pSqVBSUoJRo0ZBLpcjOTkZ/v7+Lb5PuSBEIpH0+OJfbaXDc4Fie3MJV5lbKpWKqoq+q3Gt5Hx9fREUFNSlRQ5n9l93FavVipKSEvTv399h9YM6o6qqCunp6ZgzZw5mzJjRZ9+PpCUK0PuI3bt3w8PDAwsWLGg2MZeUlECtVkOlUqG4uBijR4+GQqFAWlqaS1PfGIbB9evXwbJsh3cD2nJrX21HpcNz6eJ1dXVObavVXa2dN7c/q63RaODm5sY/J85q59YeMZzl5trPcM8JgGbn1wGguLgY7u7uiIqKEs3EaTabsWrVKvTr1w+vvvqqSxYNqIgMIeJlNpvx888/Q61W48SJE5BIJEhOTkZaWhruvPNOXLlyBSdPnsTDDz+MgIAAoYfrcLcWOmsrUORS+4OCgkS7uO4KRqMRZWVlDm0l11aWg5jPr3PPQ1hYmNMXuVuTn5+P1atXY+XKlUhLS3P59Ym4UYBOeFarFb/88gvUajWOHz8OlmUhl8uhUCgwZswYp62IGo1GFBUVITg4uEsrubfjiHR4m82G69evi749WUfPm9u3LrNv5+bv7+/0XuNcBoLYCtZZrdZmCztmsxkymQwREREuryrcloaGBixZsgT33HMP5s+f77LrUhEZQnoGrjK7Wq2GWq1GdnY2PDw88PDDD+O+++5DRESEKL7LnKWtQBG4OfdERkb2mNR+Z+CKoDn7iENr59e5RRMxnF/XarWoqqoS7P2gUqmwc+dObN68GXfccYfLr0/EjwJ00qbGxkYcP34carUaZ8+eRXR0NF9sLioqyiHXqK+v54uDuaJIS1fS4Y1GIwoLCxESEiKqyt32uAwEiUTS6QUElmVhMpn4RYzutnNrT01NDWpqakSdgcBVk+fOdDc1NcFgMMDb25t/rwgxoV+/fh0vvfQSFi1ahMmTJ7v8+oSQnsNgMGDt2rWw2Wx47LHHcOrUKajVatTU1GDs2LGQy+WYMGGCIDuHrsSlcpvNZri5uXUqHb434YqgGQwGREZGuvy4lsVi4RdNTCaTYOfXuQUsjUYjSP0BlmXx+eef49///jd27Ngh2ntKIjwK0EmHsCyLwsJCvthcZWUlEhMToVQqkZyc3OmdUPsK6IMHDxbsvNLt0uEbGxtRVlbmsgWErrDvbx4cHNztGw6uxR23iMG1c/P39+/ymX7u9bZYLKItWAfcXJQqLS1FbGxssxoIXE967jlx5iJGa/Ly8rBmzRqsW7cOI0aMcOq1CCE93+HDhyGRSFqcazUajcjNzUVWVhZOnToFX19fpKSkQC6XY9iwYaKps+EIFosFZWVlkMlkCAwMhEQiaZEO7+3tzQeKPeXcdGfZbDaUl5dDKpUiJCRE8EWJ9s6vO7JKf2vXraioAMuygtRhsNls2L59OyorK7Fp06YO11kifRMF6KRLzGYz8vLyoFarkZOTAy8vL77Y3J133tnuF5/ZbEZhYSECAgJEV6TFPh1eo9FAIpEgPDwcAQEBLqkO31mu6G9u385Np9Pxixj+/v4dSv22Wq0oLCyETCbDwIEDRfV6c7hqto2NjYiNjb3tjVprixj2BeccOfEfPXoU+/btw/bt2xEeHu6w30sI+T8ajQbp6enQarWwWCxYuXIlxo0bJ/SwnIr73uOKzV25cgVxcXFISUlBWlqaQxZ8haLX61FRUdHu+WJu4VWr1UKv14NlWdGfm+4ss9mM0tJS0bbUA1xzft1ms6G0tBR+fn78Yo0rGQwG/O///i9iYmLw8ssv96qFMOIcFKATh6itreXPvF28eBHx8fFQKBRQKBTN2j/duHEDGo1GdL2k7XEBpa+vLwICAvjg1NnV4TtDyP7mrZ3pb6t1GXc8gFvkECOWZfkChdHR0V16XW/NxHB3d+efk64W4WNZFrt370ZeXh7effddUZ3XJ6S32b59O/r164cnn3wS165dw7Jly/DFF18IPSyXstlsuHjxIp8pp9frkZiYCLlcjnHjxvWIHT8uhbmpqQmRkZGdWli3Pzet1+vh4eEBmUzWY9PhuXPW4eHh8PHxEXo4HdbW+XU/P78u1cjhFimEKg5YU1OD9PR0/P73v8fs2bN73PuICIMCdCf57rvv8M0332Dz5s0tHsvIyEBeXh6/qrtr1y7RBqtdwbIs8vPz+Um+sbERSUlJaGxsRHl5OT744ANR7kYDN1fdi4qKEBER0SKgbC0dngvCXFlEjDtvDqDLAaWj2Lcu4xYxuNRvlmVRXl6OmJgY0d4cWK1WXLt2zeH97C0WC7+73pUifGazGatXr4aXlxdWrVrVa1MvCRGLpqYmSKVSeHt749dff8X//u//4sCBA0IPS1BarRY5OTlQqVQ4ffo0goKC+N7rsbGxotth5lrJubu7O+T7vKemw7Msi7q6Or4onpjH2hG3nl/38vLiX4fb3UtymRRCLVJcvXoVq1atQnp6OiZOnOjy65OeiwJ0J8jIyIBKpcLw4cOxZcuWFo/PnTsXO3fuRGBgoACjc72ysjL88Y9/hJeXF4xGIwYMGMCnw8fFxYlmNbGzPdgdUR2+sxx93tzRGIaBRqNBRUUF9Hp9s+fEz89PVON11e6+fRE+jUYDk8kEX19fPmC/9b3S1NSEl156CRMnTsSTTz4pqueMUWa99gAAIABJREFUkN7g8OHD+Pjjj5v9bN26dRg9ejSqq6vx7LPP4rXXXkNycrJAIxQflmVx48YNvi1rUVERRowYgdTUVKSkpCAgIEDQ7yqTyYSysjKnpXJz6fBcoMgwDB8kiikdnmEYVFRU8P3ue9v8wc2n3OtgtVrbPL/e0NCAhoaGTmdSOMqJEyewdetWvP322xg2bJjLr096NgrQneDo0aMIDAzEwYMHWwToDMNAqVQiMTERNTU1mDlzJmbOnCnQSJ2vuLgYixcvxssvv8z3RS4vL+cn+YKCAowcOZLvvS7EogXDMLhx4wYYhulyD/bWdpIdnQ4v1vZk9hiGadY73Gaz8c8Jt5NsXwldqJsH7uy+EMX/WuskcPbsWfTr1w+xsbF4/fXX8Yc//AG//e1vXTouQvq6/Px8vPzyy1i+fDk/X5HWWa1WnD17FllZWTh+/DgYhkFSUhLkcjlGjRrl0mNXGo0G1dXViIiIcFkavqPTsB3BYrGgtLQU/fv3x4ABA1x+fSG0dX7dYrGAYRhERka6fPGEZVl88cUX+Oc//4nt27cjNDTUpdcnvQMF6N3Q3ip8Tk4ODhw40CJA12q1+OSTT7BgwQLYbDbMnz8f69atQ0JCgiuH7jJciyr7c+j2bDYbLly4AJVKhezsbFgsFqSmpkKhUGDs2LFOn+S5HenAwECHVjdt7Uwyt5Pc2XR47rx5XV2dqNuT2e/uh4SEtHi8vZ3kfv36uSwNz/65FMNRC4ZhcPLkSRw+fBgnTpxASEgI7r33XqSlpWHUqFEOGSPXxzw/Px9SqRQZGRkYPHgw//gPP/yAnTt3wsPDAzNmzMDs2bO7fU1CepKrV69i0aJF2Lp1a6+dj52FZVk0NjYiOzsbKpUKv/zyCyIjI/l0+KioKKcErNzcaDKZEBERIWjhrVvTsF2dDs+lcg8cOFC0HWdcwWKxoKSkBFxo4+Hh4dKFE5vNhp07d+LGjRt4++23Hfpa0Dzet1CA7iRtBeg2mw0Gg4HfAd20aRPi4+Mxffp0IYYpOhqNhj/z9vPPPyM8PBwTJ06EQqHA4MGDHfrl2tTUhJKSEpfsSHc1HV5M583bo9PpUFxc3Knif7dWQmcYxqlF+MTc6u3bb7/F3r17sW3bNvj4+ODEiRM4ceIEbDYb/vSnP3X79//nP//BDz/8gA0bNuDMmTPYvXs33nvvPQA3b2imTp2KI0eOwMfHB3PnzsX777/f6iILIb3V888/j/z8fERGRgIAZDIZ/xkhncMwDAoLC5GVlQW1Wo2KigqMGTMGqampSEpKckjNHa6/uY+Pj+iOe7WWDs9VJff19XX43CN0KrdYcBkEAQEB/LG17pxf7yyj0Yg33ngDkZGRWL58ucMXjGge71t6duWIHqioqAhLly7FF198AYZhkJeXh4cffljoYYmGv78/7r33Xtx7770AgOvXryMrKwubNm1CaWkpxowZg4kTJyI1NbXLkzzLsqisrERTUxPi4uJcMqFJpVIEBwcjODi4WTp8YWFhm+nwXDu6AQMGiKJ3aVtqa2tRVVWFoUOHwsvLq8N/TiKRQCaT8YsjXDs3rhd5d7IObmWz2fjK/IMGDRLNc8myLD788EMcP34c+/bt49/TU6dOxdSpUx12ndOnT/MFasaOHYvz58/zjxUUFCA6Opo/tzl+/Hjk5ubi/vvvd9j1CRE7CsYdx83NDUOHDsXQoUPx5JNPwmQyIS8vD1lZWdi3bx+kUinfe3348OGd3mE2GAwoLy9HaGioKI97SSQS+Pj48IsHDMNAr9dDq9WiurraYenw3L2MzWYT9QK+K3DviVszCDw9PfmA3f78enl5OaxWK3x9ffnFk+4E1HV1dUhPT8eDDz6IefPmOeUeg+bxvoUCdBfZt28foqOjcc899+Chhx7C7Nmz4enpiWnTpiEuLk7o4YlWdHQ0Hn30UTz66KOwWCz8mbcPP/wQ7u7ukMvlmDhxIkaOHNmhL1ebzYaioiJIpVLBCtRJJBJ+Uhg4cCBfWM0+MPX29kZTUxOio6MFaQvSESzLorS0FCaTCfHx8d1eLXZ3d2+28s1lHVRWVsJgMMDb25sP2DuT5m8ymXDt2jWEhYWJqjCjxWLBW2+9BYZh8P777zt1oUir1Ta7kXV3d4fVaoWHhwe0Wm2zxS4/Pz9otVqnjYUQ0rd4eXlBLpdDLpeDZVnU1tZCpVLh8OHDuHTpEmJiYpCamoq0tLR2q6+zLIuGhgY0NjZi0KBBoj3udSs3N7dmi9Hcrm5tbW2Xd3WtVitKS0shk8kc2oGkJ2pqakJtbe1t3xMSiQTe3t7w9vZGUFAQGIbhz6/X1dUB6Fr/9WvXruG1117Dyy+/jEmTJjnir9Qqmsf7FgrQnSQlJQUpKSn8fy9YsID/92effRbPPvusEMPq0Tw9PTFhwgRMmDABwM0VyxMnTuDAgQM4f/48YmNjoVQqoVQqER4e3uLPGwwGFBUViS5Qc3NzQ//+/dG/f3+wLIuKigrU1NTAx8cHJSUlLqkO31n2O9KxsbFOuTloLetAo9GguLgYFosFMpmMr4Te1uIAV1hv8ODBfFtDMdBoNFi6dClSUlLwzDPPOP3mSiaT8QV0gJspqNyu1a2P6XS6XtX2kRAiHhKJBMHBwZg+fTqmT58OhmGQn5+PrKwsrF27Fg0NDRg3bhzkcjkSExP53VCj0Yjr169DJpP1+N3i1nZ1tVotysrKOpQObzQaUVZWJtoMAlfhFnv0ej2io6M7vUng5ubGL4wAN+9rdDodNBoNKisrO3R+/dSpU9i8eTM2btyI4cOHO+Tv1Raax/sWCtBJjxUYGMinArMsi6tXr0KtVmPVqlWor6/H+PHjoVQqkZSUhH/9619oaGjAY489Jtqe3Fw1eZZlMWLECLi5ubWZDs/9I8RNCteebODAgS6rFGufdRAWFgaGYaDVavmWbhKJhD8mwLVzq62tRXV1Ne644w5R7bSUlZVh8eLFeOaZZ3Dfffe55JqJiYn48ccfMXXqVJw5cwbx8fH8Y0OHDkVxcTEaGhrg6+uL3NxcPP300y4ZFyGkb3Nzc8Pw4cMxfPhwPPfcc9Dr9Th58iRUKhV27dqFfv36YdSoUTh27BgWLFiA++67r1ftFtvv6tqnw+t0OlRXV/O771yQqNFoUFtbi8jIyE4dKett7NvJOaoIof2xOqD1TAeubFdkZCS+/vpr/P3vf8eePXswcODAbl//dmge71uoSFwv89133+Gbb77B5s2bWzx26NAhHDhwAB4eHnj++edx9913CzBC1zCZTMjNzUVmZiaOHj2KAQMGYMqUKZg8eTKGDRsmutX3jp4359LhHVEdviu4wnpCtCdrj9Vq5Z8XriiPRCLhxymWG7pz587h9ddfx9q1azF27FiXXZer/nrlyhWwLIt169bh4sWL0Ov1mDNnDl/9lWVZzJgxA48++qjLxkYIIa1hWRZffvkltmzZghEjRqC4uBjDhg2DXC5HamoqAgMDRfPd7iz2Rc50Oh0kEgmCgoLg7+8vmow6V+PS+/39/TFgwACXvAe4TIczZ85gz549qKmpAcMwWLZsGX7zm9+4ZLea5vG+hQL0XiQjIwMqlQrDhw9vUT2+uroaTz31FD7//HOYTCbMmzcPn3/+uah2Fh2tpqYGy5Ytg0KhwLRp0/gWMFeuXEFCQgIUCgWUSiWCg4MFHSeXht2ZCugcs9nMB6YGg8Fp6fBcO5v6+nrRtCdrDVc92N3dHb6+vi3auQl5U/Pf//4Xu3btwrZt2xAVFSXIGAghpKf49NNP8f333+Odd95BYGAgrFYrLly4gMzMTBw/fhwmkwkTJkyAXC53SVtWodhsNpSVlUEqlaJfv378DrvNZnNqdXgxMplMKC0tFSy932QyYc2aNQgICMBvf/tbnDx5Ejk5OXBzc8OOHTsQFBTk8jGR3okC9F7k6NGjCAwMxMGDB1sE6N9//z2OHTuGtWvXAgBefPFFLFy4EKNHjxZiqC7x6aefIiYmBmlpac1+zjAMLl26BJVKBbVaDYPBgOTkZCiVSowfP96lk3x1dTVqa2sd0t/cPh2+qakJNput2Tntrk7eXKs3LpVMrDcBXB927tw6h2VZ6PV6/nlxdju3W7Esi48//hg//fQTtm3bxldZJYQQR2svi66nKSwsRFRUVJtV3puamnDixAmoVCqcOXMGoaGhSElJQVpaGgYPHizauaozTCYTysrKEBQU1KJgrH06vF6vb3am2tvbu9dlF2i1WlRVVSEiIgLe3t4uv359fT2WL1+O3/3ud5g/f36z51er1fLH6whxBArQe6DDhw/j448/bvazdevWYfTo0W32X//yyy9x5coVpKenAwCWL1+O6dOntwhe+yKdToeTJ09CrVbj9OnTCA4O5ovNOasAmv15c2cVvHFEOrzFYsG1a9dE3+pNr9ejqKioQ1kINpsNWq3WJccErFYr1q1bB4PBgDVr1vTaHR5CiPDay6Lr7ViWRXFxMVQqFVQqFUpKSjBq1CikpqYiJSUF/v7+op2/2tLZgNRqtfKp8Eaj0ak9v12tvr4eTU1NiIyM7HRbPkcoLi7GypUrsXjxYtxzzz0uvz7pe6hIXA80a9YszJo1q1N/hio8ts3Pzw933303fya/pKQEarUa27ZtQ1FREUaNGgWlUgm5XM63AOsOV/U3t68Oz12Xq05qnw7v7+/fauDIBb2DBg0Sbas34ObEXVFR0eE+7O7u7m0+L3q9vtnz0p0iPFqtFsuWLcO4ceOwcOHCHndzSAjpWRITE3Hvvffi4MGDQg/F5biaI0OGDMFjjz0Gs9mMn3/+GWq1Gp9++ikkEgmSk5Mhl8sxYsQIUQesLMuirq4OWq0W0dHRHQ5IPTw8mnWEse/5bbPZ4OPjwwfsPSW7wL7Xu1AZfKdPn8amTZuwfv16jBw50uXXJ30T7aD3Mm3toHNn0I8cOQKz2YxZs2bhyy+/7NNVQDvCarXi3LlzUKlUOH78OBiGgVwuh1KpxJgxYzq9ktud8+aOdLt0+IaGBlRWViI2Nla07xFu4tZoNIiJiXHIqjrLsjAajfzzwrVz46rmd/QaFRUVWLx4MZ544gk88MAD3R4XIYRwupJF15exLIv6+nqo1Wqo1WqcO3cO0dHRfG/2iIgI0SygMgyD8vJyuLu7O7S/uX3Pb51O1yPS4bmz9z4+PggKCnL5GFmWxdGjR3Hw4EHs2LGj1fa9hDgLBei9zK2T8759+xAdHY177rkHhw4dwsGDB8GyLBYuXIgpU6YIPNqep7GxkT/zdvbsWURHR/PF5m5X+MuR580djWtb1tjYiLq6OrAsi9DQUAQEBLikOnxnMQyD4uJiuLu7O6zFSlvX0el0aGpqgkajAQB+EUMmk7V63YsXL2LlypVYvXo1xo8f75RxEUJIayhAvz2GYXD16lU+Hb6mpgZjx45FamoqkpKS+L7YrmaxWFBaWsr3SHemW9PhpVIp/Pz8IJPJRJFdYDabUVpa2urZe1dgGAZ79+7FxYsXsWXLlj7db54IgwJ0QrqIZVkUFhZCrVZDpVKhsrISiYmJUCgUSElJ4b/QjUYjfv31V8hkMlEXrrHZbCgqKoK3tzdCQkJaVIfnCqsJvbhgfy4+NDTUpde+tZ2bVCqFu7s7DAYDEhIScOzYMezYsQNbtmzB4MGDXTo2QgihAL3zjEYjcnNzkZWVhVOnTsHHxwepqalITU1FQkIC3N3dnT4GvV6PiooKDBw40OUtTFmWhdlshlarhU6ng9VqbVYd3hV/f3vccxEeHg4fHx+XXhu4uTiQkZEBPz8/rFq1ShQLFqTvoQCddIvRaER6ejpqa2vh5+eHjRs3IjAwsNn/k5GRgby8PH5VeteuXb3y/LvZbEZeXh7UajVycnLg5eWFcePG4dixY5g7dy7mzJkjup1ojslkwrVr1xAWFtbi9WsvHV4mk7l08jYYDCgsLERkZKQoqqGbTCZcvnwZ27dvR1FREUwmE1544QX89re/RUhIiMOvR583Qkh7KEDvHpZlUVVVxe+u5+fnIy4uDqmpqZDL5U6pG1NfX4/GxkZERkaKIhhsLR3e19cXMpnM6enwXBbfoEGDBHkuGhsbsXz5ctx9991YsGCBaO/ZSO9HATrpln379kGr1eKPf/wj/vWvf+Hnn3/GqlWrmv0/c+fOxc6dO1sEEr3dTz/9hDfffBOjRo1CUVER4uLioFQqoVAoEBYWJvTweBqNBjdu3MDgwYM7lNrHpcNzad/OrIJur7GxEaWlpYiJiRFkVb0tNpsNGzZsQH19PebNm4eTJ08iOzsbOp0O69evR3x8vMOuRZ83QghxHZvNhkuXLiErKwvZ2dnQarUYP3485HI5xo0b1612XyzLoqKiAizLYuDAgaLNrmsrHd7Pz89hGXUsy6KmpgZGoxEREREu37UHgBs3bmDFihV44YUX8Lvf/c7l1yfEHgXopFsWLVqEZ555BmPHjoVGo8EjjzyCf/3rX/zjDMNAqVQiMTERNTU1mDlzJmbOnCngiF3j22+/xV/+8he8++67iIyMBMuyyM/P53uvNzU1ISkpCUqlEhMmTBCkpydw81x8XV0dYmNju7xabbFY+N11g8EAb29vPmB3xOTNsiyqq6vR0NCA2NhYQVqstEWn0+GVV17BiBEj8OKLLzZbnDAYDHwKvKPQ540QQoSj1Wpx8uRJZGVl4fTp0wgKCuJ7r8fGxnY4yLZarSgtLYVMJkNgYGCP2anl0uG5gN1isXQ7HZ4rjOfh4YHQ0FBBnoszZ85g3bp1fLFFQoQmnjtdInqtVY4NCgri02f9/Pz4QlocvV6Pxx57DAsWLIDNZsP8+fMxcuRIJCQkuGzcQhg2bBg++ugjfqdXIpEgISEBCQkJeOaZZ2AwGHDq1ClkZmbi3XffxYABA6BQKKBQKBAfH+/0CYplWVy/fh0syyIuLq5bK/eenp4ICgpCUFBQs3T44uJiWK3WbqXDsyyLGzdugGEY3HHHHaLaYaisrMSSJUvwyCOPYPr06S0e7+4uP33eCCFEXGQyGSZPnozJkyfz85Narcbu3btRVFSEESNGICUlBampqQgICGh1LjcYDCgvL0doaGiPKz4mkUjg5eUFLy8vBAYGNkuHr62tBQB+d70jGXVWqxUlJSXo378/BgwY4Iq/QjMsy+I///kP/vrXv+L999/HoEGDXD4GQlpDO+ikWxYtWoTnnnsOo0ePhkajwdy5c/HPf/6Tf9xms8FgMPCT0KZNmxAfH99qQNOXlZeX88XmCgoKMGLECCiVSqSlpTk8VdlqteLatWvo37+/01eru5MOb7VaUVhYCH9/f4e2m3GEy5cvY8WKFXj99deRnJzssuvS540QQsTJarXi7NmzfFtWm82GpKQkyOVyjBo1ClKpFP/+978xcOBAjBgxQvCCq85gtVqh1+uh1Wpvmw5vNBpRVlaGsLAwQSrnMwyDffv24eeff8bWrVsFqRZPSFtoB510S2JiIo4dO4bRo0cjMzOzRVupoqIiLF26FF988QUYhkFeXh4efvhhgUYrXuHh4Xw6ss1mw4ULF6BSqXDgwAGYzWakpqZCqVRi7Nix3ZrU9Xo9ioqKXFZkzc3NjQ/Igf9Lh6+srGw3Hd5oNKKwsBDh4eFObzfTWZmZmdiyZQu2bNmC2NhYl16bPm+EECJOHh4eGD9+PMaPH4/FixejsbER2dnZ+Oabb7BhwwZIpVJ4enri1VdfFUUxOGfw8PDg53T7dPjKykpYLBb4+PjAz88PLMuirq4OkZGR8PLycvk4zWYz1q9fDw8PD+zevbvXvh6k56IddNItBoMBK1asQHV1NTw9PbF582aEhIQ067++d+9efPPNN/D09MS0adMwd+5coYfdo2i1Wr73+s8//4zw8HAolUoolUoMHjy4wzvL9fX1qKioQExMjGBn3u2xLAuj0cifX+fS4T08PFBXV4eYmBiXt5u5nb/97W84evQotm3bJkgRNrF83vLz87F69WocOHAAAHDhwgVs3LgRn3zyicOvRQghPVlTUxOWLVuGQYMGITo6GtnZ2aioqMDo0aMhl8uRlJTUJzptsCwLvV7PF4OTSqWQyWQdTod3lKamJqxYsQIKhQLPPPOMU47OUccV0l0UoBPSw1y/fp1vAVNaWooxY8ZAqVRCLpe3+uXOVYrVarWIiYkRVZE1ewzDoLS0FPX19fDw8OBX4v39/eHr6ytoijvDMHj77bdRWVmJ9evXC7LiLyYMw2DixInIzMyEu7s7Hn/8caxcuRIjRowQemiEECIqzz33HGbOnNmsMrjJZEJeXh6ysrKQk5MDqVTKn12/8847RTtPd4d91frw8HAwDMMXmzMYDPD09ISfnx9kMhk8PT2dMueXlpZi+fLlePbZZ3H//fc77b6COq6Q7qIAnZAezGKx8GfeTpw4ATc3N6SlpUGpVGLUqFHQ6/X48MMPMXPmTERGRorqHLc9lmVRWloKs9mMIUOGwM3NzenV4TvKYDBg+fLliI2NxZIlS0RVqE5ITzzxBF599VUUFxfjhx9+wMaNG4UeEiGkB2IYBm+++Sby8/MhlUqRkZGBwYMHCz0sh2FZtt25l2VZ1NbW8gvvFy9eRGxsLFJTU5GWlia6GixdYbPZUFpaCj8/v1ar1rMsC4vFAq1Wy1eH59Lh/fz8HNIN5dy5c8jIyMDatWsxbty4bv++9lDHFdJdvW+JjvRqt5vIf/jhB+zcuRMeHh6YMWMGZs+eLeBonc/T0xMTJkzAhAkTAAB1dXU4ceIEDh06hJUrV8JsNuOuu+6Cm5ubaCd4m82GwsJC+Pr6IiYmhh/nrdXhuXR4R1SH76jq6mosXrwYM2fOxIwZM5xyjZ5q7NixyMvLw9/+9jd88MEHQg+HENJD/fe//4XZbMbBgwdx5swZbNiwAe+9957Qw3KY2829EokEwcHBmD59OqZPnw6GYZCfn4+srCysWbMGjY2NGDduHORyORITE0V39Ot2zGYzSktLERwc3GYKt0QigVQqRWBgIAIDA/mOMDqdDnV1dQAAX19fyGSyTqfDsyyL77//Hh999BF27dqFqKgoh/y9ONRxhTgDBeikR2lvIrdYLFi/fj2OHDkCHx8fzJ07F3fffTdCQkIEHrXrBAYGYurUqQgNDcWFCxfwwgsvoK6uDm+88Qbq6uqQmJiIiRMnIikpSRSTvMlkwrVr1xAWFtZumpdEIoGPjw98fHwQFhbWrDp8WVkZ3N3d4e/vj379+jksHf7XX39Feno6VqxYAblc3u3f19uMGTMGr776KubNm4ewsDChh0MI6aFOnz6NiRMnAri58Hf+/HmBRyQsNzc3DB8+HMOHD8dzzz0HvV6PkydPQqVS8eeU5XI55HJ5t9ukOhtXIC4iIqJTtW8kEgl8fX3h6+uLkJAQ2Gw26HQ6NDY2oqKigk+H56rDtzXnMwyD/fv3IycnB3/5y1+cUnR21qxZmDVrVrOfLVq0CDqdDsDN5+DWCvE+Pj6YP38+3441NTUVly9fpgCd8ChAJz1KexN5QUEBoqOj+erk48ePR25uLu6//35BxiqUqqoqbNu2Dbt378bAgQMBAE8++SRMJhNOnz6NrKws7NixA35+flAoFJg4cSKGDRvm8kleq9Xi+vXriI6O7nQv2Laqw1dVVTkkHT47OxubNm3C5s2bMXTo0E7/+b4gNjYWnp6eePbZZ4UeCiGkB9Nqtc3mAHd3d1it1l55DrsrfH19MWnSJEyaNIk/x52ZmYl9+/ahoKAAw4YNQ2pqKuRyeavp40JpaGhAQ0MDoqKiul0l3b5FKwC+Onx1dTXMZjOfDu/r68u/bywWCzZu3AiGYbBnzx6XHo2jjiuku+jbj/Qo7U3kWq22WfqUn58ftFqtEMMUVGhoKPbv39/i515eXkhLS0NaWhqAm4F8dnY2PvjgA1y5cgUJCQlQKBRQKBROzzqoq6tDZWUlhg4d6pCCa45Mhz98+DC++OILfPDBBwgODu722HqrTz75BMuWLRNFJgYhpOeSyWT8biNwc9eTgvPWSSQShIeHY86cOZgzZw6sVisuXLiAzMxMrFixAkajEUlJSUhNTcW4ceME6bXOsiyqqqpgsVgQHR3tlMV/qVQKqVSKAQMGNEuHLyoqwqZNm3DnnXeioKAAaWlpePHFF12+ATF37lysWLECc+fO5TuuAGjWceWhhx7C7Nmz+Y4rcXFxLh0jETcqEkd6lPXr12PMmDGYOnUqAOA3v/kNMjMzAQCXL1/G5s2bsXfvXgDAunXrkJiYiPvuu0+w8fYUDMPg0qVLUKvVUKlU0Ov1SE5OxsSJE5GYmOiwquUsy6K8vBx6vR4xMTFOOztuzz4dXqPRtJkOzzAMtmzZguLiYmzatEkUrejE6Pr163juueeQmJiIdevWCT0cQkgP9+233+LHH3/Ehg0bcObMGfz5z3+muhZd1NTUxLdlPXPmDEJCQvjdda4AqzNx3Vi8vb0RHBwsyG7+r7/+is2bN8PNzQ0NDQ0ICwuDQqHA1KlTadGd9BgUoJMepb2J3GKx4IEHHsChQ4fg6+uLRx55BO+99x6dj+0CnU6HkydPQq1W4/Tp0wgODubT4WNjY7s06TIMg6KiIkilUkErylssFmg0GjQ1NeH69ev47LPPkJSUhLy8PMTExODll1926k3Md999h2+++YZfUbd36NAhHDhwAB4eHnj++edx9913O20chBAiBlzx1ytXroBlWaxbt46OFjkAy7IoLi7mq8OXlJRg5MiRkMvlSE5ORr9+/Rw6D1ssFpSUlCAwMJA/auhqFy5cwNq1a7F69Wq+eO6NGzeQnZ2NoUOH8j8jROwoQCc9SmsT+cWLF6HX6zFnzhy+ijvLspgxYwYeffRRoYfcK5SUlECtVkOtVqOwsBCjR4+GQqFAWlpah4quWCwWFBQUIDg4WFQr2AzD4Pjx49izZw9qa2tZHX31AAAMm0lEQVQhlUqRmJjI/90c3e88IyMDKpUKw4cPx5YtW5o9Vl1djaeeegqff/45TCYT5s2bh88//1yQFEVCCCG9i9lsxpkzZ/i2rACQnJyMtLQ0jBgxolvnxA0GA8rLyzFw4EDBjj399NNP2LNnD7Zu3YohQ4YIMgZCHIUCdEJIp1itVpw7dw4qlQrZ2dlgWRZyuRwKhQJjxoxpMcnr9XoUFRUhKiqqzRYrQikoKMCyZcuQnp4OhUIBk8mEvLw8qFQq3HXXXUhOTnbo9Y4ePYrAwEAcPHiwRYD+/fff49ixY1i7di0A4MUXX8TChQsxevRoh46BEEJI38ayLOrr65GdnQ2VSoVz584hKiqKrw7fmSy3pqYm1NbWIjIyUrAz75999hkyMzOxfft2DBgwwOVjIMTRKEAnpINu14N93759OHLkCN8ubM2aNYiNjRVquC7T2NjIn3k7e/YsoqKioFQqoVQqkZeXh7Nnz2L58uWiO9N94sQJrF+/Hm+//Tbi4+Md+rtb64u6bt06jB49Gjk5OThw4ECLAP3LL7/ElStXkJ6eDgBYvnw5pk+fzhf1I4QQQpyBYRhcvXqVT4evrq7G2LFjIZfLkZSUBD8/vxZ/hmVZ1NbWQq/XIzIy0iU1ZW5ltVrxzjvvQK/X409/+pPDs94IEQqVySSkg9rrwQ7cPPu0ceNGjBw5UsBRul7//v0xZcoUTJkyBSzLorCwECqVCs899xwsFgsUCgXUajVSUlI63U7NWb744gscPHgQe/fuRWhoqMN/f2t9UW/n1krGOp1OdBkHhBBCeh83NzfEx8cjPj4eTz31FIxGI3Jzc5GVlYUPP/wQ3t7eSE1NRWpqKhISEmCxWLB//3489NBDiIqKEqSmjE6nw6uvvooxY8YIUqmdEGeiAJ2QDmqvBztwM0Dfs2cPqqurMWnSJCxcuFCIYQpKIpFg0KBBuHTpElJSUpCeno5z585BrVZj9+7dfKs3pVKJESNGuHxCZVkW27dvx5UrV/CXv/xFVC3CRo8eja1bt8JkMsFsNqOgoMDhO/uEEELI7Xh7e/OZcFzbNJVKhb/97W+4cOECGIZBcnKyYEFxZWUl0tPT8eijj2L69Omi6f1OiKNQgE5IB7XXgx0AHnjgAcybNw8ymQyLFi3Cjz/+2CercJ85cwYjR47EvHnzIJFI+FV3AKitrYVarcZf//pXXLx4EXFxcVAoFFAqlU6vtm8ymfDaa68hJCQE27dvFyQdrzX2fVEff/xxzJs3DyzLYunSpZSuRwghRFASiQRhYWGYMWMGxowZg2XLlmHmzJnQarVYtWoVdDodxo8fj9TUVCQmJjr9ONvly5exevVqrFq1CikpKU69FiFCoTPohHRQez3YWZaFVqvlU5I//fRTNDQ04MUXXxRsvGLHsizy8/P56vANDQ1ITk6GQqFAUlKSQyf5uro6LFmyBPfddx9V9ieEEEI6SavVYv78+di0aRPuuOOOZj8/efIksrKycPr0aQQGBvK914cOHerQXfbMzEy89957ePfdd6kVH+nVKEAnpIPa68Gu0Wjw4IMP4ujRo/D19cWSJUswY8YM3HXXXQKPuucwGAw4deoUVCoVcnNzERAQAKVSCYVCgfj4+C6nsBUVFWHp0qV46aWX6PUghBDiNGfPnsU777yD/fv3Cz0Up2BZtt25mGVZ3LhxA2q1GiqVCkVFRRg+fDjkcjlSU1MREBDQpbmcZVkcPHgQ33//PbZv346goKDu/DUIET0K0AnpoNv1YP/HP/6B/fv3QyqVQi6XY/HixUIPuUcrLy/nd9evXr2KESNGQKlUIi0tja+Ufzu5ubl46623sHHjRiQkJDh5xIQQQvqqvXv34quvvoKPjw8OHTok9HBEwWq14uzZs1CpVDh+/DhsNhsmTJiAtLQ0jBo1qkNt2axWK7Zu3Yr6+nps2LCBjn6RPoECdEKI6NlsNly4cIGf5M1mM1JSUqBUKjF27NhWJ/mvvvoKn376KbZv3+708+2EEEL6tm+//RbDhg3D8uXLKUBvBcuyaGxsRHZ2NtRqNc6ePYuIiAg+HT46OrrF7rper8frr7+OhIQELFmyhCq1kz6DAnRCSI+j1Wr53us///wzwsPD+XT4wYMHY9euXTh//jw2b97cav9WQgghxNFKSkrw8ssvU4DeAQzDoLCwEFlZWVCr1aioqMDo0aORmpqKpKQkGI1GpKenY86cOZgxYwZVaid9CgXohPQwbZ1x++GHH7Bz5054eHhgxowZmD17tkAjdL3r169DpVJBpVLhwoULmDhxItasWSOaSu2EEEJ6PwrQu85kMiEvLw9ZWVnIyclBdXU11q9fD4VCIfTQCHE5CtAJ6UHaOuNmsVgwdepUHDlyBD4+Ppg7dy7ef/99hISECDhaYTAMQ2lwhBBCXI4CdMdgWRYMw7hkkf27777DN998g82bN7d47NChQzhw4AA8PDzw/PPP98nWuUQYdBdLSA8SHR2NHTt2tPh5QUEBoqOj0b9/f0ilUowfPx65ubkCjFB4FJwTQgghPZdEInFJcJ6RkYHNmzeDYZgWj1VXV2P//v04cOAAPvzwQ7z77rswm81OHxMhAAXohPQoU6ZMgYeHR4uf2/dgBwA/Pz9otVpXDq3P+O6777Bs2bJWH8vIyMDvf/97PP7443j88ceh0WhcPDpCCCFCGTRoEO2e9yCJiYl48803W33sl19+wbhx4yCVSuHv74/o6GhcvnzZtQMkfVbLO31CSI8jk8mg0+n4/9bpdM0CduIYGRkZUKlUGD58eKuPX7hwAR988EGH28ARQgghxLkOHz6Mjz/+uNnP1q1bh6lTpyInJ6fVP0MbH0RIFKAT0gsMHToUxcXFaGhogK+vL3Jzc/H0008LPaxeJzExEffeey8OHjzY4jGGYVBcXIw33ngDNTU1mDlzJmbOnCnAKAkhhBDCmTVrFmbNmtWpP0MbH0RIFKAT0oN9/fXX0Ov1mDNnDlauXImnn34aLMtixowZ1Pu7G7qy2q7X6/HYY49hwYIFsNlsmD9/PkaOHImEhARXDJkQQgghDjJ69Ghs3boVJpMJZrMZBQUFiI+PF3pYpI+gAJ2QHsb+jNtDDz3E/3zy5MmYPHmyUMPqVbqy2u7j44P58+fDx8cHAJCamorLly9TgE4IIYT0EPv27UN0dDTuuecePP7445g3bx5YlsXSpUvh5eUl9PBIH0EBOiGEOEBRURGWLl2KL774AgzDIC8vDw8//LDQwyKEEEJIG1JSUpCSksL/94IFC/h/nz17NmbPni3EsEgfRwE6IaTDzp49i3feeQf79+9v9vN9+/bhyJEjfHG0NWvWIDY2Voghupz9avtDDz2E2bNnw9PTE9OmTUNcXJzQwyOEEEIIIT2IhGVZVuhBENIRjz/+OP7whz9AoVBgy5Yt0Ol0WLVqldDD6jP27t2Lr776Cj4+Pi3ayLzyyit48sknMXLkSIFGRwghhJDuslgseO2111BaWgqz2Yznn38e99xzj9DDIqRPoT7opMdYvHgx3n//fXz11Ve4dOkSXn31VaGH1KdER0djx44drT524cIF7NmzB3PnzsXu3btdPDJCCCGEOMJXX32FgIAAfPbZZ9i7dy/eeustoYdESJ9DKe6kx0hKSgLLsvjoo4/wySefwN3dXegh9SlTpkxBSUlJq4898MADmDdvHmQyGRYtWoQff/wRd999t4tHSAghhJDuuO+++zBlyhT+v+leixDXox100mPk5+ejuroaUqkUMplM6OGQ/49lWTzxxBMIDAyEVCrFXXfdhYsXLwo9LEIIIYR0kp+fH2QyGbRaLRYvXoyXXnpJ6CER0udQgE56hKqqKrzyyivYtWsXfHx8kJWVJfSQyP+n1Wrx4IMPQqfTgWVZ5OTk0Fl0QgghpIcqLy/H/PnzMW3atGbtXAkhrkEp7kT0DAYD/vjHP2LlypUYOnQoXnjhBbzzzjuYOHGi0EPr077++mvo9XrMmTMHS5cuxfz58yGVSiGXy3HXXXcJPTxCCCGEdFJNTQ2eeuopvPHGG5DL5UIPh5A+iaq4E0IIIYQQQpCRkYF///vfzVql7t27F97e3gKOipC+hQJ0QgghhBBCCCFEBOgMOiGEEEIIIYQQIgIUoBNCCCGEEEIIISJAATohhBBCCCGEECICFKATQgghhBBCCCEiQAE6IYQQQgghhBAiAhSgE0II+X/t17EAAAAAwCB/62nsKIsAABgQdAAAABgQdAAAABgQdAAAABgQdAAAABgQdAAAABgQdAAAABgQdAAAABgQdAAAABgQdAAAABgIkE7Gb0epNSgAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 1008x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize=(14, 6))\n",
    "ax1 = fig.add_subplot(1, 2, 1, projection='3d')\n",
    "ax1.scatter(x, y, z, s=15, c='k')\n",
    "format3D(ax1)\n",
    "\n",
    "ax2 = fig.add_subplot(1, 2, 2, projection='3d')\n",
    "ax2.scatter(*projected_data.T, s=15, c='k')\n",
    "format3D(ax1)\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.058226Z",
     "start_time": "2020-06-18T13:54:09.055269Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.77381099, 0.22385721])"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca2.explained_variance_ratio_"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## Principal Components from Covariance Matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We first compute the principal components using the square covariance matrix with the pairwise sample covariances for the features xi, xj, i, j = 1, ..., n as entries in row i and column j:\n",
    " \n",
    "$$cov_{i,j}=\\frac{\\sum_{k=1}^{N}(x_{ik}−\\bar{x_i})(x_{jk}−\\bar{x_j})}{N−1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Using `numpy`, we implement this as follows, where the pandas `DataFrame` data contains the 100 data points of the ellipse:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.068959Z",
     "start_time": "2020-06-18T13:54:09.059388Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(3, 3)"
      ]
     },
     "execution_count": 14,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cov = np.cov(data.T) # each row represents a feature\n",
    "cov.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Eigendecomposition: Eigenvectors & Eigenvalues "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- The Eigenvectors $w_i$ and Eigenvalues $\\lambda_i$ for a square matrix $M$ are defined as follows:\n",
    "$$M w_i = \\lambda_i w_i$$\n",
    "\n",
    "- This implies we can represent the matrix $M$ using Eigenvectors and Eigenvalues, where $W$ is a matrix that contains the Eigenvectors as column vectors, and $L$ is a matrix that contains the $\\lambda_i$ as diagonal entries (and 0s otherwise):\n",
    "$$M=WLW^{-1}$$"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we calculate the eigenvectors and eigenvalues of the covariance matrix.  The eigenvectors contain the principal components (where the sign is arbitrary):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.080995Z",
     "start_time": "2020-06-18T13:54:09.069973Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "eigen_values, eigen_vectors = eig(cov)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "### eigenvectors = principal components "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.099138Z",
     "start_time": "2020-06-18T13:54:09.082179Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[ 0.71409739, -0.66929454, -0.20520656],\n",
       "       [-0.70000234, -0.68597301, -0.1985894 ],\n",
       "       [ 0.00785136, -0.28545725,  0.95835928]])"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigen_vectors"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can compare the result with the result obtained from sklearn and find that they match in absolute terms:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.107660Z",
     "start_time": "2020-06-18T13:54:09.099991Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.allclose(np.abs(C), np.abs(eigen_vectors))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### eigenvalues = explained variance "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.121607Z",
     "start_time": "2020-06-18T13:54:09.108913Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1.92923132, 0.55811089, 0.00581353])"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "eigen_values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.134433Z",
     "start_time": "2020-06-18T13:54:09.122885Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.allclose(explained_variance, eigen_values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "#### Check that Eigendecomposition works"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can also verify the eigendecomposition, starting with the diagonal matrix L that contains the eigenvalues:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.151423Z",
     "start_time": "2020-06-18T13:54:09.135661Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([[1.92923132, 0.        , 0.        ],\n",
       "       [0.        , 0.55811089, 0.        ],\n",
       "       [0.        , 0.        , 0.00581353]])"
      ]
     },
     "execution_count": 20,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ev = np.zeros((3, 3))\n",
    "np.fill_diagonal(ev, eigen_values)\n",
    "ev # diagonal matrix"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We find that the result does indeed hold:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.162524Z",
     "start_time": "2020-06-18T13:54:09.152671Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "decomposition = eigen_vectors.dot(ev).dot(inv(eigen_vectors))\n",
    "np.allclose(cov, decomposition)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Preferred: Singular Value Decomposition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Next, we'll look at the alternative computation using the Singular Value Decomposition (SVD). This algorithm is slower when the number of observations is greater than the number of features (the typical case) but yields better numerical stability, especially when some of the features are strongly correlated (often the reason to use PCA in the first place).\n",
    "\n",
    "SVD generalizes the eigendecomposition that we just applied to the square and symmetric covariance matrix to the more general case of m x n rectangular matrices. It has the form shown at the center of the following figure. The diagonal values of Σ are the singular values, and the transpose of V* contains the principal components as column vectors."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "#### Requires centering your data! "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this case, we need to make sure our data is centered with mean zero (the computation of the covariance above took care of this):"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.173911Z",
     "start_time": "2020-06-18T13:54:09.164798Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "n_features = data.shape[1]\n",
    "data_ = data - data.mean(axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We find that the decomposition does indeed reproduce the standardized data:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.186202Z",
     "start_time": "2020-06-18T13:54:09.175185Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cov_manual = data_.T.dot(data_)/(len(data)-1)\n",
    "np.allclose(cov_manual, cov)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.207157Z",
     "start_time": "2020-06-18T13:54:09.187603Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "((100, 100), (3,), (3, 3))"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "U, s, Vt = svd(data_)\n",
    "U.shape, s.shape, Vt.shape"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.214348Z",
     "start_time": "2020-06-18T13:54:09.208388Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(100, 3)"
      ]
     },
     "execution_count": 25,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Convert s from vector to diagonal matrix\n",
    "S = np.zeros_like(data_)\n",
    "S[:n_features, :n_features] = np.diag(s)\n",
    "S.shape"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Show that the result indeed decomposes the original data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.222679Z",
     "start_time": "2020-06-18T13:54:09.215870Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 26,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.allclose(data_, U.dot(S).dot(Vt))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "#### Confirm that $V^T$ contains the principal components "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.231705Z",
     "start_time": "2020-06-18T13:54:09.223661Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.allclose(np.abs(C), np.abs(Vt.T))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### Visualize 2D Projection "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.240969Z",
     "start_time": "2020-06-18T13:54:09.233381Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "pca = PCA(n_components=2)\n",
    "data_2D = pca.fit_transform(data)\n",
    "\n",
    "min_, max_ = data[:, :2].min(), data[:, :2].max()\n",
    "xs, ys = np.meshgrid(np.linspace(min_,max_, n_points), \n",
    "                     np.linspace(min_,max_, n_points))\n",
    "\n",
    "normal_vector = np.cross(pca.components_[0], pca.components_[1])\n",
    "d = -pca.mean_.dot(normal_vector)\n",
    "zs = (-normal_vector[0] * xs - normal_vector[1] * ys - d) * 1 / normal_vector[2]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.250019Z",
     "start_time": "2020-06-18T13:54:09.243279Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [],
   "source": [
    "C = pca.components_.T.copy()\n",
    "proj_matrix = C.dot(inv(C.T.dot(C))).dot(C.T)\n",
    "C[:,0] *= 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.680921Z",
     "start_time": "2020-06-18T13:54:09.251424Z"
    },
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 864x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.figure(figsize=(12, 5)).gca(projection='3d')\n",
    "\n",
    "ax.plot_surface(xs, ys, zs, \n",
    "                alpha=0.2,\n",
    "                color='k',\n",
    "                linewidth=1, \n",
    "                antialiased=True)\n",
    "\n",
    "ax.scatter(x, y, z, c='k', s=25)\n",
    "\n",
    "for i in range(n_points):\n",
    "    ax.plot(*zip(proj_matrix.dot(data[i]), data[i]), \n",
    "            color='k', lw=1)\n",
    "\n",
    "origin = np.zeros((2, 3))\n",
    "X, Y, Z, U, V, W = zip(*np.hstack((origin, C.T)))\n",
    "ax.quiver(X, Y, Z, U, V, W, color='red')\n",
    "\n",
    "format3D(ax, limits=list(repeat((min_, max_), 3)))\n",
    "plt.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### 2D Representation"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.883190Z",
     "start_time": "2020-06-18T13:54:09.681840Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "data_3D_inv = pca.inverse_transform(data_2D)\n",
    "avg_error = np.mean(np.sum(np.square(data_3D_inv-data), axis=1))\n",
    "\n",
    "fig = plt.figure(figsize=(8, 5))\n",
    "ax = fig.add_subplot(111, aspect='equal',\n",
    "                     xlabel='Principal Component 1',\n",
    "                     ylabel='Principal Component 2',\n",
    "                     title=f'Ellipse in 2D - Loss of Information: {avg_error:.2%}')\n",
    "\n",
    "ax.scatter(data_2D[:, 0], data_2D[:, 1], color='k', s=15)\n",
    "ax.arrow(0, 0, 0, .5, head_width=0.1, length_includes_head=True,\n",
    "         head_length=0.1, fc='k', ec='k')\n",
    "ax.arrow(0, 0, 1, 0, head_width=0.1, length_includes_head=True,\n",
    "         head_length=0.1, fc='k', ec='k')\n",
    "sns.despine()\n",
    "fig.tight_layout()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "### How many Components to represent 64 dimensions?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:09.941395Z",
     "start_time": "2020-06-18T13:54:09.884191Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(1797, 64)"
      ]
     },
     "execution_count": 32,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "n_classes = 10\n",
    "digits = load_digits(n_class=n_classes)\n",
    "X = digits.data\n",
    "y = digits.target\n",
    "n_samples, n_features = X.shape\n",
    "n_samples, n_features"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "#### Evaluate the cumulative explained variance "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2020-06-18T13:54:10.162731Z",
     "start_time": "2020-06-18T13:54:09.942442Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 576x360 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pca = PCA(n_components=64).fit(X)\n",
    "pd.Series(pca.explained_variance_ratio_).cumsum().plot(figsize=(8, 5))\n",
    "plt.annotate('Elbow', xy=(15, .8), xycoords='data', xytext=(20, .65),\n",
    "    textcoords='data', horizontalalignment='center',\n",
    "    arrowprops=dict(color='k', lw=2, arrowstyle=\"->\")\n",
    ")\n",
    "plt.axhline(.95, c='k', lw=1, ls='--')\n",
    "sns.despine()\n",
    "plt.tight_layout();"
   ]
  },
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   "source": [
    "### Automate generation of Components"
   ]
  },
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   "execution_count": 34,
   "metadata": {
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     "end_time": "2020-06-18T13:54:10.177499Z",
     "start_time": "2020-06-18T13:54:10.163779Z"
    },
    "slideshow": {
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   "outputs": [
    {
     "data": {
      "text/plain": [
       "(29, 64)"
      ]
     },
     "execution_count": 34,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pca = PCA(n_components=.95).fit(X)\n",
    "pca.components_.shape"
   ]
  }
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